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Simplifying 12 + -1[4x + -1(5x + -7)] = 19(6x + -7) Reorder the terms: 12 + -1[4x + -1(-7 + 5x)] = 19(6x + -7) 12 + -1[4x + (-7 * -1 + 5x * -1)] = 19(6x + -7) 12 + -1[4x + (7 + -5x)] = 19(6x + -7) Reorder the terms: 12 + -1[7 + 4x + -5x] = 19(6x + -7) Combine like terms: 4x + -5x = -1x 12 + -1[7 + -1x] = 19(6x + -7) 12 + [7 * -1 + -1x * -1] = 19(6x + -7) 12 + [-7 + 1x] = 19(6x + -7) Combine like terms: 12 + -7 = 5 5 + 1x = 19(6x + -7) Reorder the terms: 5 + 1x = 19(-7 + 6x) 5 + 1x = (-7 * 19 + 6x * 19) 5 + 1x = (-133 + 114x) Solving 5 + 1x = -133 + 114x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-114x' to each side of the equation. 5 + 1x + -114x = -133 + 114x + -114x Combine like terms: 1x + -114x = -113x 5 + -113x = -133 + 114x + -114x Combine like terms: 114x + -114x = 0 5 + -113x = -133 + 0 5 + -113x = -133 Add '-5' to each side of the equation. 5 + -5 + -113x = -133 + -5 Combine like terms: 5 + -5 = 0 0 + -113x = -133 + -5 -113x = -133 + -5 Combine like terms: -133 + -5 = -138 -113x = -138 Divide each side by '-113'. x = 1.221238938 Simplifying x = 1.221238938
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