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Simplifying -9 + 2(-1x + -2) = 3(4x + -8) + 7 Reorder the terms: -9 + 2(-2 + -1x) = 3(4x + -8) + 7 -9 + (-2 * 2 + -1x * 2) = 3(4x + -8) + 7 -9 + (-4 + -2x) = 3(4x + -8) + 7 Combine like terms: -9 + -4 = -13 -13 + -2x = 3(4x + -8) + 7 Reorder the terms: -13 + -2x = 3(-8 + 4x) + 7 -13 + -2x = (-8 * 3 + 4x * 3) + 7 -13 + -2x = (-24 + 12x) + 7 Reorder the terms: -13 + -2x = -24 + 7 + 12x Combine like terms: -24 + 7 = -17 -13 + -2x = -17 + 12x Solving -13 + -2x = -17 + 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. -13 + -2x + -12x = -17 + 12x + -12x Combine like terms: -2x + -12x = -14x -13 + -14x = -17 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -14x = -17 + 0 -13 + -14x = -17 Add '13' to each side of the equation. -13 + 13 + -14x = -17 + 13 Combine like terms: -13 + 13 = 0 0 + -14x = -17 + 13 -14x = -17 + 13 Combine like terms: -17 + 13 = -4 -14x = -4 Divide each side by '-14'. x = 0.2857142857 Simplifying x = 0.2857142857
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