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Simplifying 3(2x + -5) = 2(3 + -1x) + -1 Reorder the terms: 3(-5 + 2x) = 2(3 + -1x) + -1 (-5 * 3 + 2x * 3) = 2(3 + -1x) + -1 (-15 + 6x) = 2(3 + -1x) + -1 -15 + 6x = (3 * 2 + -1x * 2) + -1 -15 + 6x = (6 + -2x) + -1 Reorder the terms: -15 + 6x = 6 + -1 + -2x Combine like terms: 6 + -1 = 5 -15 + 6x = 5 + -2x Solving -15 + 6x = 5 + -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. -15 + 6x + 2x = 5 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = 5 + 0 -15 + 8x = 5 Add '15' to each side of the equation. -15 + 15 + 8x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 5 + 15 8x = 5 + 15 Combine like terms: 5 + 15 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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