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Simplifying 3(x + -4) = 4(x + 5) Reorder the terms: 3(-4 + x) = 4(x + 5) (-4 * 3 + x * 3) = 4(x + 5) (-12 + 3x) = 4(x + 5) Reorder the terms: -12 + 3x = 4(5 + x) -12 + 3x = (5 * 4 + x * 4) -12 + 3x = (20 + 4x) Solving -12 + 3x = 20 + 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 = 20 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = 20 + 0 -12 + -1x = 20 Add '12' to each side of the equation. -12 + 12 + -1x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 20 + 12 -1x = 20 + 12 Combine like terms: 20 + 12 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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