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Simplifying 4(2x + 3) + -2(x + 1) = 2(x + 12) Reorder the terms: 4(3 + 2x) + -2(x + 1) = 2(x + 12) (3 * 4 + 2x * 4) + -2(x + 1) = 2(x + 12) (12 + 8x) + -2(x + 1) = 2(x + 12) Reorder the terms: 12 + 8x + -2(1 + x) = 2(x + 12) 12 + 8x + (1 * -2 + x * -2) = 2(x + 12) 12 + 8x + (-2 + -2x) = 2(x + 12) Reorder the terms: 12 + -2 + 8x + -2x = 2(x + 12) Combine like terms: 12 + -2 = 10 10 + 8x + -2x = 2(x + 12) Combine like terms: 8x + -2x = 6x 10 + 6x = 2(x + 12) Reorder the terms: 10 + 6x = 2(12 + x) 10 + 6x = (12 * 2 + x * 2) 10 + 6x = (24 + 2x) Solving 10 + 6x = 24 + 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. 10 + 6x + -2x = 24 + 2x + -2x Combine like terms: 6x + -2x = 4x 10 + 4x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 4x = 24 + 0 10 + 4x = 24 Add '-10' to each side of the equation. 10 + -10 + 4x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 24 + -10 4x = 24 + -10 Combine like terms: 24 + -10 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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