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Simplifying (8 + 2x) * 4 = -10 + 2x Reorder the terms for easier multiplication: 4(8 + 2x) = -10 + 2x (8 * 4 + 2x * 4) = -10 + 2x (32 + 8x) = -10 + 2x Solving 32 + 8x = -10 + 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 + 8x + -2x = -10 + 2x + -2x Combine like terms: 8x + -2x = 6x 32 + 6x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 6x = -10 + 0 32 + 6x = -10 Add '-32' to each side of the equation. 32 + -32 + 6x = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = -10 + -32 6x = -10 + -32 Combine like terms: -10 + -32 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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