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Simplifying 2(9x + -8) + -1(-5x + 12 + 6x + -15) = 7x + 8x + -7 Reorder the terms: 2(-8 + 9x) + -1(-5x + 12 + 6x + -15) = 7x + 8x + -7 (-8 * 2 + 9x * 2) + -1(-5x + 12 + 6x + -15) = 7x + 8x + -7 (-16 + 18x) + -1(-5x + 12 + 6x + -15) = 7x + 8x + -7 Reorder the terms: -16 + 18x + -1(12 + -15 + -5x + 6x) = 7x + 8x + -7 Combine like terms: 12 + -15 = -3 -16 + 18x + -1(-3 + -5x + 6x) = 7x + 8x + -7 Combine like terms: -5x + 6x = 1x -16 + 18x + -1(-3 + 1x) = 7x + 8x + -7 -16 + 18x + (-3 * -1 + 1x * -1) = 7x + 8x + -7 -16 + 18x + (3 + -1x) = 7x + 8x + -7 Reorder the terms: -16 + 3 + 18x + -1x = 7x + 8x + -7 Combine like terms: -16 + 3 = -13 -13 + 18x + -1x = 7x + 8x + -7 Combine like terms: 18x + -1x = 17x -13 + 17x = 7x + 8x + -7 Reorder the terms: -13 + 17x = -7 + 7x + 8x Combine like terms: 7x + 8x = 15x -13 + 17x = -7 + 15x Solving -13 + 17x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -13 + 17x + -15x = -7 + 15x + -15x Combine like terms: 17x + -15x = 2x -13 + 2x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 -13 + 2x = -7 + 0 -13 + 2x = -7 Add '13' to each side of the equation. -13 + 13 + 2x = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = -7 + 13 2x = -7 + 13 Combine like terms: -7 + 13 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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