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Simplifying 2(x + -3) + 3(x + 5) = 2x + 7 Reorder the terms: 2(-3 + x) + 3(x + 5) = 2x + 7 (-3 * 2 + x * 2) + 3(x + 5) = 2x + 7 (-6 + 2x) + 3(x + 5) = 2x + 7 Reorder the terms: -6 + 2x + 3(5 + x) = 2x + 7 -6 + 2x + (5 * 3 + x * 3) = 2x + 7 -6 + 2x + (15 + 3x) = 2x + 7 Reorder the terms: -6 + 15 + 2x + 3x = 2x + 7 Combine like terms: -6 + 15 = 9 9 + 2x + 3x = 2x + 7 Combine like terms: 2x + 3x = 5x 9 + 5x = 2x + 7 Reorder the terms: 9 + 5x = 7 + 2x Solving 9 + 5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x 9 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 3x = 7 + 0 9 + 3x = 7 Add '-9' to each side of the equation. 9 + -9 + 3x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 7 + -9 3x = 7 + -9 Combine like terms: 7 + -9 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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