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Simplifying 4 + 5[2x + -1] = 4[3 + -4x] Reorder the terms: 4 + 5[-1 + 2x] = 4[3 + -4x] 4 + [-1 * 5 + 2x * 5] = 4[3 + -4x] 4 + [-5 + 10x] = 4[3 + -4x] Combine like terms: 4 + -5 = -1 -1 + 10x = 4[3 + -4x] -1 + 10x = [3 * 4 + -4x * 4] -1 + 10x = [12 + -16x] Solving -1 + 10x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -1 + 10x + 16x = 12 + -16x + 16x Combine like terms: 10x + 16x = 26x -1 + 26x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 -1 + 26x = 12 + 0 -1 + 26x = 12 Add '1' to each side of the equation. -1 + 1 + 26x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 26x = 12 + 1 26x = 12 + 1 Combine like terms: 12 + 1 = 13 26x = 13 Divide each side by '26'. x = 0.5 Simplifying x = 0.5
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