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