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Simplifying 3(x + 2) + -8 = 5(x + -4) + 4 Reorder the terms: 3(2 + x) + -8 = 5(x + -4) + 4 (2 * 3 + x * 3) + -8 = 5(x + -4) + 4 (6 + 3x) + -8 = 5(x + -4) + 4 Reorder the terms: 6 + -8 + 3x = 5(x + -4) + 4 Combine like terms: 6 + -8 = -2 -2 + 3x = 5(x + -4) + 4 Reorder the terms: -2 + 3x = 5(-4 + x) + 4 -2 + 3x = (-4 * 5 + x * 5) + 4 -2 + 3x = (-20 + 5x) + 4 Reorder the terms: -2 + 3x = -20 + 4 + 5x Combine like terms: -20 + 4 = -16 -2 + 3x = -16 + 5x Solving -2 + 3x = -16 + 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. -2 + 3x + -5x = -16 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = -16 + 0 -2 + -2x = -16 Add '2' to each side of the equation. -2 + 2 + -2x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -16 + 2 -2x = -16 + 2 Combine like terms: -16 + 2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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