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Simplifying 4(x + -12) = 10x + -16 + -5x Reorder the terms: 4(-12 + x) = 10x + -16 + -5x (-12 * 4 + x * 4) = 10x + -16 + -5x (-48 + 4x) = 10x + -16 + -5x Reorder the terms: -48 + 4x = -16 + 10x + -5x Combine like terms: 10x + -5x = 5x -48 + 4x = -16 + 5x Solving -48 + 4x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 4x + -5x = -16 + 5x + -5x Combine like terms: 4x + -5x = -1x -48 + -1x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + -1x = -16 + 0 -48 + -1x = -16 Add '48' to each side of the equation. -48 + 48 + -1x = -16 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -16 + 48 -1x = -16 + 48 Combine like terms: -16 + 48 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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