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Simplifying x + 4 = -3x + 2(x + 4) Reorder the terms: 4 + x = -3x + 2(x + 4) Reorder the terms: 4 + x = -3x + 2(4 + x) 4 + x = -3x + (4 * 2 + x * 2) 4 + x = -3x + (8 + 2x) Reorder the terms: 4 + x = 8 + -3x + 2x Combine like terms: -3x + 2x = -1x 4 + x = 8 + -1x Solving 4 + x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + x + x = 8 + -1x + x Combine like terms: x + x = 2x 4 + 2x = 8 + -1x + x Combine like terms: -1x + x = 0 4 + 2x = 8 + 0 4 + 2x = 8 Add '-4' to each side of the equation. 4 + -4 + 2x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 8 + -4 2x = 8 + -4 Combine like terms: 8 + -4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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