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Simplifying 12(2x + -13) = 117 + -15x Reorder the terms: 12(-13 + 2x) = 117 + -15x (-13 * 12 + 2x * 12) = 117 + -15x (-156 + 24x) = 117 + -15x Solving -156 + 24x = 117 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -156 + 24x + 15x = 117 + -15x + 15x Combine like terms: 24x + 15x = 39x -156 + 39x = 117 + -15x + 15x Combine like terms: -15x + 15x = 0 -156 + 39x = 117 + 0 -156 + 39x = 117 Add '156' to each side of the equation. -156 + 156 + 39x = 117 + 156 Combine like terms: -156 + 156 = 0 0 + 39x = 117 + 156 39x = 117 + 156 Combine like terms: 117 + 156 = 273 39x = 273 Divide each side by '39'. x = 7 Simplifying x = 7
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