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Simplifying -5(x + -4) + 12 = 3x + -16 Reorder the terms: -5(-4 + x) + 12 = 3x + -16 (-4 * -5 + x * -5) + 12 = 3x + -16 (20 + -5x) + 12 = 3x + -16 Reorder the terms: 20 + 12 + -5x = 3x + -16 Combine like terms: 20 + 12 = 32 32 + -5x = 3x + -16 Reorder the terms: 32 + -5x = -16 + 3x Solving 32 + -5x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + -5x + -3x = -16 + 3x + -3x Combine like terms: -5x + -3x = -8x 32 + -8x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + -8x = -16 + 0 32 + -8x = -16 Add '-32' to each side of the equation. 32 + -32 + -8x = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = -16 + -32 -8x = -16 + -32 Combine like terms: -16 + -32 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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