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Simplifying 3(-4x + 7) + -2 = -1x + 18 Reorder the terms: 3(7 + -4x) + -2 = -1x + 18 (7 * 3 + -4x * 3) + -2 = -1x + 18 (21 + -12x) + -2 = -1x + 18 Reorder the terms: 21 + -2 + -12x = -1x + 18 Combine like terms: 21 + -2 = 19 19 + -12x = -1x + 18 Reorder the terms: 19 + -12x = 18 + -1x Solving 19 + -12x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 19 + -12x + x = 18 + -1x + x Combine like terms: -12x + x = -11x 19 + -11x = 18 + -1x + x Combine like terms: -1x + x = 0 19 + -11x = 18 + 0 19 + -11x = 18 Add '-19' to each side of the equation. 19 + -19 + -11x = 18 + -19 Combine like terms: 19 + -19 = 0 0 + -11x = 18 + -19 -11x = 18 + -19 Combine like terms: 18 + -19 = -1 -11x = -1 Divide each side by '-11'. x = 0.09090909091 Simplifying x = 0.09090909091
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