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Simplifying x + -1[4 + -1(x + 1)] = 4x + -15 Reorder the terms: x + -1[4 + -1(1 + x)] = 4x + -15 x + -1[4 + (1 * -1 + x * -1)] = 4x + -15 x + -1[4 + (-1 + -1x)] = 4x + -15 Combine like terms: 4 + -1 = 3 x + -1[3 + -1x] = 4x + -15 x + [3 * -1 + -1x * -1] = 4x + -15 x + [-3 + 1x] = 4x + -15 Reorder the terms: -3 + x + 1x = 4x + -15 Combine like terms: x + 1x = 2x -3 + 2x = 4x + -15 Reorder the terms: -3 + 2x = -15 + 4x Solving -3 + 2x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 2x + -4x = -15 + 4x + -4x Combine like terms: 2x + -4x = -2x -3 + -2x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -2x = -15 + 0 -3 + -2x = -15 Add '3' to each side of the equation. -3 + 3 + -2x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -15 + 3 -2x = -15 + 3 Combine like terms: -15 + 3 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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