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Simplifying 2(3 + -1x) + 5(2x + -3) = 3 + -4x (3 * 2 + -1x * 2) + 5(2x + -3) = 3 + -4x (6 + -2x) + 5(2x + -3) = 3 + -4x Reorder the terms: 6 + -2x + 5(-3 + 2x) = 3 + -4x 6 + -2x + (-3 * 5 + 2x * 5) = 3 + -4x 6 + -2x + (-15 + 10x) = 3 + -4x Reorder the terms: 6 + -15 + -2x + 10x = 3 + -4x Combine like terms: 6 + -15 = -9 -9 + -2x + 10x = 3 + -4x Combine like terms: -2x + 10x = 8x -9 + 8x = 3 + -4x Solving -9 + 8x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 8x + 4x = 3 + -4x + 4x Combine like terms: 8x + 4x = 12x -9 + 12x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 12x = 3 + 0 -9 + 12x = 3 Add '9' to each side of the equation. -9 + 9 + 12x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 3 + 9 12x = 3 + 9 Combine like terms: 3 + 9 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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