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Simplifying 5x + 4 + -2x = 2x + 3(x + 4) Reorder the terms: 4 + 5x + -2x = 2x + 3(x + 4) Combine like terms: 5x + -2x = 3x 4 + 3x = 2x + 3(x + 4) Reorder the terms: 4 + 3x = 2x + 3(4 + x) 4 + 3x = 2x + (4 * 3 + x * 3) 4 + 3x = 2x + (12 + 3x) Reorder the terms: 4 + 3x = 12 + 2x + 3x Combine like terms: 2x + 3x = 5x 4 + 3x = 12 + 5x Solving 4 + 3x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 3x + -5x = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = 12 + 0 4 + -2x = 12 Add '-4' to each side of the equation. 4 + -4 + -2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 12 + -4 -2x = 12 + -4 Combine like terms: 12 + -4 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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