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Simplifying 4(x + -1) + 2(2x + -3) + -2 = 15 + -1x + 3(3 + -1x) Reorder the terms: 4(-1 + x) + 2(2x + -3) + -2 = 15 + -1x + 3(3 + -1x) (-1 * 4 + x * 4) + 2(2x + -3) + -2 = 15 + -1x + 3(3 + -1x) (-4 + 4x) + 2(2x + -3) + -2 = 15 + -1x + 3(3 + -1x) Reorder the terms: -4 + 4x + 2(-3 + 2x) + -2 = 15 + -1x + 3(3 + -1x) -4 + 4x + (-3 * 2 + 2x * 2) + -2 = 15 + -1x + 3(3 + -1x) -4 + 4x + (-6 + 4x) + -2 = 15 + -1x + 3(3 + -1x) Reorder the terms: -4 + -6 + -2 + 4x + 4x = 15 + -1x + 3(3 + -1x) Combine like terms: -4 + -6 = -10 -10 + -2 + 4x + 4x = 15 + -1x + 3(3 + -1x) Combine like terms: -10 + -2 = -12 -12 + 4x + 4x = 15 + -1x + 3(3 + -1x) Combine like terms: 4x + 4x = 8x -12 + 8x = 15 + -1x + 3(3 + -1x) -12 + 8x = 15 + -1x + (3 * 3 + -1x * 3) -12 + 8x = 15 + -1x + (9 + -3x) Reorder the terms: -12 + 8x = 15 + 9 + -1x + -3x Combine like terms: 15 + 9 = 24 -12 + 8x = 24 + -1x + -3x Combine like terms: -1x + -3x = -4x -12 + 8x = 24 + -4x Solving -12 + 8x = 24 + -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. -12 + 8x + 4x = 24 + -4x + 4x Combine like terms: 8x + 4x = 12x -12 + 12x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 12x = 24 + 0 -12 + 12x = 24 Add '12' to each side of the equation. -12 + 12 + 12x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 24 + 12 12x = 24 + 12 Combine like terms: 24 + 12 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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