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Simplifying 2(x + 4) + -5(x + -3) = 30 Reorder the terms: 2(4 + x) + -5(x + -3) = 30 (4 * 2 + x * 2) + -5(x + -3) = 30 (8 + 2x) + -5(x + -3) = 30 Reorder the terms: 8 + 2x + -5(-3 + x) = 30 8 + 2x + (-3 * -5 + x * -5) = 30 8 + 2x + (15 + -5x) = 30 Reorder the terms: 8 + 15 + 2x + -5x = 30 Combine like terms: 8 + 15 = 23 23 + 2x + -5x = 30 Combine like terms: 2x + -5x = -3x 23 + -3x = 30 Solving 23 + -3x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3x = 30 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 30 + -23 -3x = 30 + -23 Combine like terms: 30 + -23 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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