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Simplifying 5x + -1[3 + -1(x + -1)] = x + 3(2x + -4) Reorder the terms: 5x + -1[3 + -1(-1 + x)] = x + 3(2x + -4) 5x + -1[3 + (-1 * -1 + x * -1)] = x + 3(2x + -4) 5x + -1[3 + (1 + -1x)] = x + 3(2x + -4) Combine like terms: 3 + 1 = 4 5x + -1[4 + -1x] = x + 3(2x + -4) 5x + [4 * -1 + -1x * -1] = x + 3(2x + -4) 5x + [-4 + 1x] = x + 3(2x + -4) Reorder the terms: -4 + 5x + 1x = x + 3(2x + -4) Combine like terms: 5x + 1x = 6x -4 + 6x = x + 3(2x + -4) Reorder the terms: -4 + 6x = x + 3(-4 + 2x) -4 + 6x = x + (-4 * 3 + 2x * 3) -4 + 6x = x + (-12 + 6x) Reorder the terms: -4 + 6x = -12 + x + 6x Combine like terms: x + 6x = 7x -4 + 6x = -12 + 7x Solving -4 + 6x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 6x + -7x = -12 + 7x + -7x Combine like terms: 6x + -7x = -1x -4 + -1x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1x = -12 + 0 -4 + -1x = -12 Add '4' to each side of the equation. -4 + 4 + -1x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -12 + 4 -1x = -12 + 4 Combine like terms: -12 + 4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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