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Simplifying 7x + 32 = 2(x + -4) Reorder the terms: 32 + 7x = 2(x + -4) Reorder the terms: 32 + 7x = 2(-4 + x) 32 + 7x = (-4 * 2 + x * 2) 32 + 7x = (-8 + 2x) Solving 32 + 7x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + 7x + -2x = -8 + 2x + -2x Combine like terms: 7x + -2x = 5x 32 + 5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 5x = -8 + 0 32 + 5x = -8 Add '-32' to each side of the equation. 32 + -32 + 5x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = -8 + -32 5x = -8 + -32 Combine like terms: -8 + -32 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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