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Simplifying -1(7x + -5) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3 Reorder the terms: -1(-5 + 7x) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3 (-5 * -1 + 7x * -1) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3 (5 + -7x) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3 Reorder the terms: 5 + -7x + -1(-6 + 6x) + 6 = -16(x + -1) + -1(2x + 17) + 3 5 + -7x + (-6 * -1 + 6x * -1) + 6 = -16(x + -1) + -1(2x + 17) + 3 5 + -7x + (6 + -6x) + 6 = -16(x + -1) + -1(2x + 17) + 3 Reorder the terms: 5 + 6 + 6 + -7x + -6x = -16(x + -1) + -1(2x + 17) + 3 Combine like terms: 5 + 6 = 11 11 + 6 + -7x + -6x = -16(x + -1) + -1(2x + 17) + 3 Combine like terms: 11 + 6 = 17 17 + -7x + -6x = -16(x + -1) + -1(2x + 17) + 3 Combine like terms: -7x + -6x = -13x 17 + -13x = -16(x + -1) + -1(2x + 17) + 3 Reorder the terms: 17 + -13x = -16(-1 + x) + -1(2x + 17) + 3 17 + -13x = (-1 * -16 + x * -16) + -1(2x + 17) + 3 17 + -13x = (16 + -16x) + -1(2x + 17) + 3 Reorder the terms: 17 + -13x = 16 + -16x + -1(17 + 2x) + 3 17 + -13x = 16 + -16x + (17 * -1 + 2x * -1) + 3 17 + -13x = 16 + -16x + (-17 + -2x) + 3 Reorder the terms: 17 + -13x = 16 + -17 + 3 + -16x + -2x Combine like terms: 16 + -17 = -1 17 + -13x = -1 + 3 + -16x + -2x Combine like terms: -1 + 3 = 2 17 + -13x = 2 + -16x + -2x Combine like terms: -16x + -2x = -18x 17 + -13x = 2 + -18x Solving 17 + -13x = 2 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 17 + -13x + 18x = 2 + -18x + 18x Combine like terms: -13x + 18x = 5x 17 + 5x = 2 + -18x + 18x Combine like terms: -18x + 18x = 0 17 + 5x = 2 + 0 17 + 5x = 2 Add '-17' to each side of the equation. 17 + -17 + 5x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 2 + -17 5x = 2 + -17 Combine like terms: 2 + -17 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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