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Simplifying 23 + -7(2x + -12) = x + -14(5 + x) Reorder the terms: 23 + -7(-12 + 2x) = x + -14(5 + x) 23 + (-12 * -7 + 2x * -7) = x + -14(5 + x) 23 + (84 + -14x) = x + -14(5 + x) Combine like terms: 23 + 84 = 107 107 + -14x = x + -14(5 + x) 107 + -14x = x + (5 * -14 + x * -14) 107 + -14x = x + (-70 + -14x) Reorder the terms: 107 + -14x = -70 + x + -14x Combine like terms: x + -14x = -13x 107 + -14x = -70 + -13x Solving 107 + -14x = -70 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 107 + -14x + 13x = -70 + -13x + 13x Combine like terms: -14x + 13x = -1x 107 + -1x = -70 + -13x + 13x Combine like terms: -13x + 13x = 0 107 + -1x = -70 + 0 107 + -1x = -70 Add '-107' to each side of the equation. 107 + -107 + -1x = -70 + -107 Combine like terms: 107 + -107 = 0 0 + -1x = -70 + -107 -1x = -70 + -107 Combine like terms: -70 + -107 = -177 -1x = -177 Divide each side by '-1'. x = 177 Simplifying x = 177
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