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Simplifying 2(2 + -1x) + 3(x + -4) = 4(x + 8) (2 * 2 + -1x * 2) + 3(x + -4) = 4(x + 8) (4 + -2x) + 3(x + -4) = 4(x + 8) Reorder the terms: 4 + -2x + 3(-4 + x) = 4(x + 8) 4 + -2x + (-4 * 3 + x * 3) = 4(x + 8) 4 + -2x + (-12 + 3x) = 4(x + 8) Reorder the terms: 4 + -12 + -2x + 3x = 4(x + 8) Combine like terms: 4 + -12 = -8 -8 + -2x + 3x = 4(x + 8) Combine like terms: -2x + 3x = 1x -8 + 1x = 4(x + 8) Reorder the terms: -8 + 1x = 4(8 + x) -8 + 1x = (8 * 4 + x * 4) -8 + 1x = (32 + 4x) Solving -8 + 1x = 32 + 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. -8 + 1x + -4x = 32 + 4x + -4x Combine like terms: 1x + -4x = -3x -8 + -3x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -3x = 32 + 0 -8 + -3x = 32 Add '8' to each side of the equation. -8 + 8 + -3x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 32 + 8 -3x = 32 + 8 Combine like terms: 32 + 8 = 40 -3x = 40 Divide each side by '-3'. x = -13.33333333 Simplifying x = -13.33333333
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