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Simplifying 2(x + 3) = 8 + -3(x + -4) Reorder the terms: 2(3 + x) = 8 + -3(x + -4) (3 * 2 + x * 2) = 8 + -3(x + -4) (6 + 2x) = 8 + -3(x + -4) Reorder the terms: 6 + 2x = 8 + -3(-4 + x) 6 + 2x = 8 + (-4 * -3 + x * -3) 6 + 2x = 8 + (12 + -3x) Combine like terms: 8 + 12 = 20 6 + 2x = 20 + -3x Solving 6 + 2x = 20 + -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. 6 + 2x + 3x = 20 + -3x + 3x Combine like terms: 2x + 3x = 5x 6 + 5x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 5x = 20 + 0 6 + 5x = 20 Add '-6' to each side of the equation. 6 + -6 + 5x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 20 + -6 5x = 20 + -6 Combine like terms: 20 + -6 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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