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Simplifying -12 = 7(2x + -3) + -1(8x + -9) Reorder the terms: -12 = 7(-3 + 2x) + -1(8x + -9) -12 = (-3 * 7 + 2x * 7) + -1(8x + -9) -12 = (-21 + 14x) + -1(8x + -9) Reorder the terms: -12 = -21 + 14x + -1(-9 + 8x) -12 = -21 + 14x + (-9 * -1 + 8x * -1) -12 = -21 + 14x + (9 + -8x) Reorder the terms: -12 = -21 + 9 + 14x + -8x Combine like terms: -21 + 9 = -12 -12 = -12 + 14x + -8x Combine like terms: 14x + -8x = 6x -12 = -12 + 6x Add '12' to each side of the equation. -12 + 12 = -12 + 12 + 6x Combine like terms: -12 + 12 = 0 0 = -12 + 12 + 6x Combine like terms: -12 + 12 = 0 0 = 0 + 6x 0 = 6x Solving 0 = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0 + -6x = 6x + -6x Remove the zero: -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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