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Simplifying 2(3 + -1x) + 5(2x + -3) = 3 + -4 (3 * 2 + -1x * 2) + 5(2x + -3) = 3 + -4 (6 + -2x) + 5(2x + -3) = 3 + -4 Reorder the terms: 6 + -2x + 5(-3 + 2x) = 3 + -4 6 + -2x + (-3 * 5 + 2x * 5) = 3 + -4 6 + -2x + (-15 + 10x) = 3 + -4 Reorder the terms: 6 + -15 + -2x + 10x = 3 + -4 Combine like terms: 6 + -15 = -9 -9 + -2x + 10x = 3 + -4 Combine like terms: -2x + 10x = 8x -9 + 8x = 3 + -4 Combine like terms: 3 + -4 = -1 -9 + 8x = -1 Solving -9 + 8x = -1 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 + 8x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -1 + 9 8x = -1 + 9 Combine like terms: -1 + 9 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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