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Simplifying (2) * 8 + (x + 2) * 8 = (x + 2)(10) Multiply 2 * 8 16 + (x + 2) * 8 = (x + 2)(10) Reorder the terms: 16 + (2 + x) * 8 = (x + 2)(10) Reorder the terms for easier multiplication: 16 + 8(2 + x) = (x + 2)(10) 16 + (2 * 8 + x * 8) = (x + 2)(10) 16 + (16 + 8x) = (x + 2)(10) Combine like terms: 16 + 16 = 32 32 + 8x = (x + 2)(10) Reorder the terms: 32 + 8x = (2 + x)(10) Reorder the terms for easier multiplication: 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 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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