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Simplifying -1x + 15 + 9x + -12 + 7(-3x + -10) = 3x + -1x + 11 + -5(2x + 7) + -78 Reorder the terms: -1x + 15 + 9x + -12 + 7(-10 + -3x) = 3x + -1x + 11 + -5(2x + 7) + -78 -1x + 15 + 9x + -12 + (-10 * 7 + -3x * 7) = 3x + -1x + 11 + -5(2x + 7) + -78 -1x + 15 + 9x + -12 + (-70 + -21x) = 3x + -1x + 11 + -5(2x + 7) + -78 Reorder the terms: 15 + -12 + -70 + -1x + 9x + -21x = 3x + -1x + 11 + -5(2x + 7) + -78 Combine like terms: 15 + -12 = 3 3 + -70 + -1x + 9x + -21x = 3x + -1x + 11 + -5(2x + 7) + -78 Combine like terms: 3 + -70 = -67 -67 + -1x + 9x + -21x = 3x + -1x + 11 + -5(2x + 7) + -78 Combine like terms: -1x + 9x = 8x -67 + 8x + -21x = 3x + -1x + 11 + -5(2x + 7) + -78 Combine like terms: 8x + -21x = -13x -67 + -13x = 3x + -1x + 11 + -5(2x + 7) + -78 Reorder the terms: -67 + -13x = 3x + -1x + 11 + -5(7 + 2x) + -78 -67 + -13x = 3x + -1x + 11 + (7 * -5 + 2x * -5) + -78 -67 + -13x = 3x + -1x + 11 + (-35 + -10x) + -78 Reorder the terms: -67 + -13x = 11 + -35 + -78 + 3x + -1x + -10x Combine like terms: 11 + -35 = -24 -67 + -13x = -24 + -78 + 3x + -1x + -10x Combine like terms: -24 + -78 = -102 -67 + -13x = -102 + 3x + -1x + -10x Combine like terms: 3x + -1x = 2x -67 + -13x = -102 + 2x + -10x Combine like terms: 2x + -10x = -8x -67 + -13x = -102 + -8x Solving -67 + -13x = -102 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -67 + -13x + 8x = -102 + -8x + 8x Combine like terms: -13x + 8x = -5x -67 + -5x = -102 + -8x + 8x Combine like terms: -8x + 8x = 0 -67 + -5x = -102 + 0 -67 + -5x = -102 Add '67' to each side of the equation. -67 + 67 + -5x = -102 + 67 Combine like terms: -67 + 67 = 0 0 + -5x = -102 + 67 -5x = -102 + 67 Combine like terms: -102 + 67 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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