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Simplifying 2(x + 4) + 3x = 3(x + -4) Reorder the terms: 2(4 + x) + 3x = 3(x + -4) (4 * 2 + x * 2) + 3x = 3(x + -4) (8 + 2x) + 3x = 3(x + -4) Combine like terms: 2x + 3x = 5x 8 + 5x = 3(x + -4) Reorder the terms: 8 + 5x = 3(-4 + x) 8 + 5x = (-4 * 3 + x * 3) 8 + 5x = (-12 + 3x) Solving 8 + 5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x = -12 + 0 8 + 2x = -12 Add '-8' to each side of the equation. 8 + -8 + 2x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -12 + -8 2x = -12 + -8 Combine like terms: -12 + -8 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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