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Simplifying 4(3x + 8) = 2(x + 10) Reorder the terms: 4(8 + 3x) = 2(x + 10) (8 * 4 + 3x * 4) = 2(x + 10) (32 + 12x) = 2(x + 10) Reorder the terms: 32 + 12x = 2(10 + x) 32 + 12x = (10 * 2 + x * 2) 32 + 12x = (20 + 2x) Solving 32 + 12x = 20 + 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 + 12x + -2x = 20 + 2x + -2x Combine like terms: 12x + -2x = 10x 32 + 10x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 10x = 20 + 0 32 + 10x = 20 Add '-32' to each side of the equation. 32 + -32 + 10x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = 20 + -32 10x = 20 + -32 Combine like terms: 20 + -32 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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