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Simplifying 4 + 3x = 5(-1x + 4) + -32 Reorder the terms: 4 + 3x = 5(4 + -1x) + -32 4 + 3x = (4 * 5 + -1x * 5) + -32 4 + 3x = (20 + -5x) + -32 Reorder the terms: 4 + 3x = 20 + -32 + -5x Combine like terms: 20 + -32 = -12 4 + 3x = -12 + -5x Solving 4 + 3x = -12 + -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. 4 + 3x + 5x = -12 + -5x + 5x Combine like terms: 3x + 5x = 8x 4 + 8x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 8x = -12 + 0 4 + 8x = -12 Add '-4' to each side of the equation. 4 + -4 + 8x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -12 + -4 8x = -12 + -4 Combine like terms: -12 + -4 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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