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Simplifying 32 + 4(x + -1) = -4(4x + 5) Reorder the terms: 32 + 4(-1 + x) = -4(4x + 5) 32 + (-1 * 4 + x * 4) = -4(4x + 5) 32 + (-4 + 4x) = -4(4x + 5) Combine like terms: 32 + -4 = 28 28 + 4x = -4(4x + 5) Reorder the terms: 28 + 4x = -4(5 + 4x) 28 + 4x = (5 * -4 + 4x * -4) 28 + 4x = (-20 + -16x) Solving 28 + 4x = -20 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 28 + 4x + 16x = -20 + -16x + 16x Combine like terms: 4x + 16x = 20x 28 + 20x = -20 + -16x + 16x Combine like terms: -16x + 16x = 0 28 + 20x = -20 + 0 28 + 20x = -20 Add '-28' to each side of the equation. 28 + -28 + 20x = -20 + -28 Combine like terms: 28 + -28 = 0 0 + 20x = -20 + -28 20x = -20 + -28 Combine like terms: -20 + -28 = -48 20x = -48 Divide each side by '20'. x = -2.4 Simplifying x = -2.4
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