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Simplifying 3(x + -2) + -5(2x + -3) = 21 Reorder the terms: 3(-2 + x) + -5(2x + -3) = 21 (-2 * 3 + x * 3) + -5(2x + -3) = 21 (-6 + 3x) + -5(2x + -3) = 21 Reorder the terms: -6 + 3x + -5(-3 + 2x) = 21 -6 + 3x + (-3 * -5 + 2x * -5) = 21 -6 + 3x + (15 + -10x) = 21 Reorder the terms: -6 + 15 + 3x + -10x = 21 Combine like terms: -6 + 15 = 9 9 + 3x + -10x = 21 Combine like terms: 3x + -10x = -7x 9 + -7x = 21 Solving 9 + -7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 21 + -9 -7x = 21 + -9 Combine like terms: 21 + -9 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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