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Simplifying -1(4x + -2) + -1(8x + -8) + 7 = -7(x + -5) + -1(9x + 9) + 4 Reorder the terms: -1(-2 + 4x) + -1(8x + -8) + 7 = -7(x + -5) + -1(9x + 9) + 4 (-2 * -1 + 4x * -1) + -1(8x + -8) + 7 = -7(x + -5) + -1(9x + 9) + 4 (2 + -4x) + -1(8x + -8) + 7 = -7(x + -5) + -1(9x + 9) + 4 Reorder the terms: 2 + -4x + -1(-8 + 8x) + 7 = -7(x + -5) + -1(9x + 9) + 4 2 + -4x + (-8 * -1 + 8x * -1) + 7 = -7(x + -5) + -1(9x + 9) + 4 2 + -4x + (8 + -8x) + 7 = -7(x + -5) + -1(9x + 9) + 4 Reorder the terms: 2 + 8 + 7 + -4x + -8x = -7(x + -5) + -1(9x + 9) + 4 Combine like terms: 2 + 8 = 10 10 + 7 + -4x + -8x = -7(x + -5) + -1(9x + 9) + 4 Combine like terms: 10 + 7 = 17 17 + -4x + -8x = -7(x + -5) + -1(9x + 9) + 4 Combine like terms: -4x + -8x = -12x 17 + -12x = -7(x + -5) + -1(9x + 9) + 4 Reorder the terms: 17 + -12x = -7(-5 + x) + -1(9x + 9) + 4 17 + -12x = (-5 * -7 + x * -7) + -1(9x + 9) + 4 17 + -12x = (35 + -7x) + -1(9x + 9) + 4 Reorder the terms: 17 + -12x = 35 + -7x + -1(9 + 9x) + 4 17 + -12x = 35 + -7x + (9 * -1 + 9x * -1) + 4 17 + -12x = 35 + -7x + (-9 + -9x) + 4 Reorder the terms: 17 + -12x = 35 + -9 + 4 + -7x + -9x Combine like terms: 35 + -9 = 26 17 + -12x = 26 + 4 + -7x + -9x Combine like terms: 26 + 4 = 30 17 + -12x = 30 + -7x + -9x Combine like terms: -7x + -9x = -16x 17 + -12x = 30 + -16x Solving 17 + -12x = 30 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 17 + -12x + 16x = 30 + -16x + 16x Combine like terms: -12x + 16x = 4x 17 + 4x = 30 + -16x + 16x Combine like terms: -16x + 16x = 0 17 + 4x = 30 + 0 17 + 4x = 30 Add '-17' to each side of the equation. 17 + -17 + 4x = 30 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 30 + -17 4x = 30 + -17 Combine like terms: 30 + -17 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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