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Simplifying 4x + -1x + 12 = 12 + 2(x + 4) Reorder the terms: 12 + 4x + -1x = 12 + 2(x + 4) Combine like terms: 4x + -1x = 3x 12 + 3x = 12 + 2(x + 4) Reorder the terms: 12 + 3x = 12 + 2(4 + x) 12 + 3x = 12 + (4 * 2 + x * 2) 12 + 3x = 12 + (8 + 2x) Combine like terms: 12 + 8 = 20 12 + 3x = 20 + 2x Solving 12 + 3x = 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. 12 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 20 + 0 12 + 1x = 20 Add '-12' to each side of the equation. 12 + -12 + 1x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 20 + -12 1x = 20 + -12 Combine like terms: 20 + -12 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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