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Simplifying -4x + 32 = 2x + 4(-4x + -2) Reorder the terms: 32 + -4x = 2x + 4(-4x + -2) Reorder the terms: 32 + -4x = 2x + 4(-2 + -4x) 32 + -4x = 2x + (-2 * 4 + -4x * 4) 32 + -4x = 2x + (-8 + -16x) Reorder the terms: 32 + -4x = -8 + 2x + -16x Combine like terms: 2x + -16x = -14x 32 + -4x = -8 + -14x Solving 32 + -4x = -8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 32 + -4x + 14x = -8 + -14x + 14x Combine like terms: -4x + 14x = 10x 32 + 10x = -8 + -14x + 14x Combine like terms: -14x + 14x = 0 32 + 10x = -8 + 0 32 + 10x = -8 Add '-32' to each side of the equation. 32 + -32 + 10x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = -8 + -32 10x = -8 + -32 Combine like terms: -8 + -32 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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