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Simplifying 7 + 7x + -12x = -12(2x + -12) + 5(x + -5) Combine like terms: 7x + -12x = -5x 7 + -5x = -12(2x + -12) + 5(x + -5) Reorder the terms: 7 + -5x = -12(-12 + 2x) + 5(x + -5) 7 + -5x = (-12 * -12 + 2x * -12) + 5(x + -5) 7 + -5x = (144 + -24x) + 5(x + -5) Reorder the terms: 7 + -5x = 144 + -24x + 5(-5 + x) 7 + -5x = 144 + -24x + (-5 * 5 + x * 5) 7 + -5x = 144 + -24x + (-25 + 5x) Reorder the terms: 7 + -5x = 144 + -25 + -24x + 5x Combine like terms: 144 + -25 = 119 7 + -5x = 119 + -24x + 5x Combine like terms: -24x + 5x = -19x 7 + -5x = 119 + -19x Solving 7 + -5x = 119 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 7 + -5x + 19x = 119 + -19x + 19x Combine like terms: -5x + 19x = 14x 7 + 14x = 119 + -19x + 19x Combine like terms: -19x + 19x = 0 7 + 14x = 119 + 0 7 + 14x = 119 Add '-7' to each side of the equation. 7 + -7 + 14x = 119 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 119 + -7 14x = 119 + -7 Combine like terms: 119 + -7 = 112 14x = 112 Divide each side by '14'. x = 8 Simplifying x = 8
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