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Simplifying 3x + 2(x + -4) = 5(2x + 6) Reorder the terms: 3x + 2(-4 + x) = 5(2x + 6) 3x + (-4 * 2 + x * 2) = 5(2x + 6) 3x + (-8 + 2x) = 5(2x + 6) Reorder the terms: -8 + 3x + 2x = 5(2x + 6) Combine like terms: 3x + 2x = 5x -8 + 5x = 5(2x + 6) Reorder the terms: -8 + 5x = 5(6 + 2x) -8 + 5x = (6 * 5 + 2x * 5) -8 + 5x = (30 + 10x) Solving -8 + 5x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 5x + -10x = 30 + 10x + -10x Combine like terms: 5x + -10x = -5x -8 + -5x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -5x = 30 + 0 -8 + -5x = 30 Add '8' to each side of the equation. -8 + 8 + -5x = 30 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 30 + 8 -5x = 30 + 8 Combine like terms: 30 + 8 = 38 -5x = 38 Divide each side by '-5'. x = -7.6 Simplifying x = -7.6
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