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Simplifying 5(2 + x) + -3(3x + 2) = 5(x + -6) + 2 (2 * 5 + x * 5) + -3(3x + 2) = 5(x + -6) + 2 (10 + 5x) + -3(3x + 2) = 5(x + -6) + 2 Reorder the terms: 10 + 5x + -3(2 + 3x) = 5(x + -6) + 2 10 + 5x + (2 * -3 + 3x * -3) = 5(x + -6) + 2 10 + 5x + (-6 + -9x) = 5(x + -6) + 2 Reorder the terms: 10 + -6 + 5x + -9x = 5(x + -6) + 2 Combine like terms: 10 + -6 = 4 4 + 5x + -9x = 5(x + -6) + 2 Combine like terms: 5x + -9x = -4x 4 + -4x = 5(x + -6) + 2 Reorder the terms: 4 + -4x = 5(-6 + x) + 2 4 + -4x = (-6 * 5 + x * 5) + 2 4 + -4x = (-30 + 5x) + 2 Reorder the terms: 4 + -4x = -30 + 2 + 5x Combine like terms: -30 + 2 = -28 4 + -4x = -28 + 5x Solving 4 + -4x = -28 + 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. 4 + -4x + -5x = -28 + 5x + -5x Combine like terms: -4x + -5x = -9x 4 + -9x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -9x = -28 + 0 4 + -9x = -28 Add '-4' to each side of the equation. 4 + -4 + -9x = -28 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -28 + -4 -9x = -28 + -4 Combine like terms: -28 + -4 = -32 -9x = -32 Divide each side by '-9'. x = 3.555555556 Simplifying x = 3.555555556
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