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Simplifying 23 + -7(2x + -12) = 4x + -1(77 + -2x) Reorder the terms: 23 + -7(-12 + 2x) = 4x + -1(77 + -2x) 23 + (-12 * -7 + 2x * -7) = 4x + -1(77 + -2x) 23 + (84 + -14x) = 4x + -1(77 + -2x) Combine like terms: 23 + 84 = 107 107 + -14x = 4x + -1(77 + -2x) 107 + -14x = 4x + (77 * -1 + -2x * -1) 107 + -14x = 4x + (-77 + 2x) Reorder the terms: 107 + -14x = -77 + 4x + 2x Combine like terms: 4x + 2x = 6x 107 + -14x = -77 + 6x Solving 107 + -14x = -77 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 107 + -14x + -6x = -77 + 6x + -6x Combine like terms: -14x + -6x = -20x 107 + -20x = -77 + 6x + -6x Combine like terms: 6x + -6x = 0 107 + -20x = -77 + 0 107 + -20x = -77 Add '-107' to each side of the equation. 107 + -107 + -20x = -77 + -107 Combine like terms: 107 + -107 = 0 0 + -20x = -77 + -107 -20x = -77 + -107 Combine like terms: -77 + -107 = -184 -20x = -184 Divide each side by '-20'. x = 9.2 Simplifying x = 9.2
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