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Simplifying -1(2x + -3) + -1(7x + -6) + 3 = -1(7x + 8) + 3 Reorder the terms: -1(-3 + 2x) + -1(7x + -6) + 3 = -1(7x + 8) + 3 (-3 * -1 + 2x * -1) + -1(7x + -6) + 3 = -1(7x + 8) + 3 (3 + -2x) + -1(7x + -6) + 3 = -1(7x + 8) + 3 Reorder the terms: 3 + -2x + -1(-6 + 7x) + 3 = -1(7x + 8) + 3 3 + -2x + (-6 * -1 + 7x * -1) + 3 = -1(7x + 8) + 3 3 + -2x + (6 + -7x) + 3 = -1(7x + 8) + 3 Reorder the terms: 3 + 6 + 3 + -2x + -7x = -1(7x + 8) + 3 Combine like terms: 3 + 6 = 9 9 + 3 + -2x + -7x = -1(7x + 8) + 3 Combine like terms: 9 + 3 = 12 12 + -2x + -7x = -1(7x + 8) + 3 Combine like terms: -2x + -7x = -9x 12 + -9x = -1(7x + 8) + 3 Reorder the terms: 12 + -9x = -1(8 + 7x) + 3 12 + -9x = (8 * -1 + 7x * -1) + 3 12 + -9x = (-8 + -7x) + 3 Reorder the terms: 12 + -9x = -8 + 3 + -7x Combine like terms: -8 + 3 = -5 12 + -9x = -5 + -7x Solving 12 + -9x = -5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -9x + 7x = -5 + -7x + 7x Combine like terms: -9x + 7x = -2x 12 + -2x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + -2x = -5 + 0 12 + -2x = -5 Add '-12' to each side of the equation. 12 + -12 + -2x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -5 + -12 -2x = -5 + -12 Combine like terms: -5 + -12 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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