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Simplifying 8(x + 4) = 10(x + -2) Reorder the terms: 8(4 + x) = 10(x + -2) (4 * 8 + x * 8) = 10(x + -2) (32 + 8x) = 10(x + -2) Reorder the terms: 32 + 8x = 10(-2 + x) 32 + 8x = (-2 * 10 + x * 10) 32 + 8x = (-20 + 10x) Solving 32 + 8x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 32 + 8x + -10x = -20 + 10x + -10x Combine like terms: 8x + -10x = -2x 32 + -2x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -2x = -20 + 0 32 + -2x = -20 Add '-32' to each side of the equation. 32 + -32 + -2x = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = -20 + -32 -2x = -20 + -32 Combine like terms: -20 + -32 = -52 -2x = -52 Divide each side by '-2'. x = 26 Simplifying x = 26
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