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Simplifying 5x + 5 + -4x + -4 + 3x + 3 = 2(x + 12) Reorder the terms: 5 + -4 + 3 + 5x + -4x + 3x = 2(x + 12) Combine like terms: 5 + -4 = 1 1 + 3 + 5x + -4x + 3x = 2(x + 12) Combine like terms: 1 + 3 = 4 4 + 5x + -4x + 3x = 2(x + 12) Combine like terms: 5x + -4x = 1x 4 + 1x + 3x = 2(x + 12) Combine like terms: 1x + 3x = 4x 4 + 4x = 2(x + 12) Reorder the terms: 4 + 4x = 2(12 + x) 4 + 4x = (12 * 2 + x * 2) 4 + 4x = (24 + 2x) Solving 4 + 4x = 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. 4 + 4x + -2x = 24 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 24 + 0 4 + 2x = 24 Add '-4' to each side of the equation. 4 + -4 + 2x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 24 + -4 2x = 24 + -4 Combine like terms: 24 + -4 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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