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Simplifying 5x + -3x + 4(1 + -4x) = 32 5x + -3x + (1 * 4 + -4x * 4) = 32 5x + -3x + (4 + -16x) = 32 Reorder the terms: 4 + 5x + -3x + -16x = 32 Combine like terms: 5x + -3x = 2x 4 + 2x + -16x = 32 Combine like terms: 2x + -16x = -14x 4 + -14x = 32 Solving 4 + -14x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -14x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = 32 + -4 -14x = 32 + -4 Combine like terms: 32 + -4 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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