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Simplifying -3 + -1(6x + -7) = 2(x + 2) + 9 Reorder the terms: -3 + -1(-7 + 6x) = 2(x + 2) + 9 -3 + (-7 * -1 + 6x * -1) = 2(x + 2) + 9 -3 + (7 + -6x) = 2(x + 2) + 9 Combine like terms: -3 + 7 = 4 4 + -6x = 2(x + 2) + 9 Reorder the terms: 4 + -6x = 2(2 + x) + 9 4 + -6x = (2 * 2 + x * 2) + 9 4 + -6x = (4 + 2x) + 9 Reorder the terms: 4 + -6x = 4 + 9 + 2x Combine like terms: 4 + 9 = 13 4 + -6x = 13 + 2x Solving 4 + -6x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -6x + -2x = 13 + 2x + -2x Combine like terms: -6x + -2x = -8x 4 + -8x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -8x = 13 + 0 4 + -8x = 13 Add '-4' to each side of the equation. 4 + -4 + -8x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 13 + -4 -8x = 13 + -4 Combine like terms: 13 + -4 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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