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Simplifying 4x + -1x + 2 = 2(x + 4) + 12 Reorder the terms: 2 + 4x + -1x = 2(x + 4) + 12 Combine like terms: 4x + -1x = 3x 2 + 3x = 2(x + 4) + 12 Reorder the terms: 2 + 3x = 2(4 + x) + 12 2 + 3x = (4 * 2 + x * 2) + 12 2 + 3x = (8 + 2x) + 12 Reorder the terms: 2 + 3x = 8 + 12 + 2x Combine like terms: 8 + 12 = 20 2 + 3x = 20 + 2x Solving 2 + 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. 2 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 20 + 0 2 + 1x = 20 Add '-2' to each side of the equation. 2 + -2 + 1x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 20 + -2 1x = 20 + -2 Combine like terms: 20 + -2 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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