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Simplifying 3(x + -4) = 4(8 + -1x) Reorder the terms: 3(-4 + x) = 4(8 + -1x) (-4 * 3 + x * 3) = 4(8 + -1x) (-12 + 3x) = 4(8 + -1x) -12 + 3x = (8 * 4 + -1x * 4) -12 + 3x = (32 + -4x) Solving -12 + 3x = 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. -12 + 3x + 4x = 32 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 32 + 0 -12 + 7x = 32 Add '12' to each side of the equation. -12 + 12 + 7x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 32 + 12 7x = 32 + 12 Combine like terms: 32 + 12 = 44 7x = 44 Divide each side by '7'. x = 6.285714286 Simplifying x = 6.285714286
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