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Simplifying 3x + 5(x + -7) = 9 + 2(6x + 10) Reorder the terms: 3x + 5(-7 + x) = 9 + 2(6x + 10) 3x + (-7 * 5 + x * 5) = 9 + 2(6x + 10) 3x + (-35 + 5x) = 9 + 2(6x + 10) Reorder the terms: -35 + 3x + 5x = 9 + 2(6x + 10) Combine like terms: 3x + 5x = 8x -35 + 8x = 9 + 2(6x + 10) Reorder the terms: -35 + 8x = 9 + 2(10 + 6x) -35 + 8x = 9 + (10 * 2 + 6x * 2) -35 + 8x = 9 + (20 + 12x) Combine like terms: 9 + 20 = 29 -35 + 8x = 29 + 12x Solving -35 + 8x = 29 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -35 + 8x + -12x = 29 + 12x + -12x Combine like terms: 8x + -12x = -4x -35 + -4x = 29 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -4x = 29 + 0 -35 + -4x = 29 Add '35' to each side of the equation. -35 + 35 + -4x = 29 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = 29 + 35 -4x = 29 + 35 Combine like terms: 29 + 35 = 64 -4x = 64 Divide each side by '-4'. x = -16 Simplifying x = -16
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