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Simplifying 3(2x + -5) = 2(15 + -1x) + -1 Reorder the terms: 3(-5 + 2x) = 2(15 + -1x) + -1 (-5 * 3 + 2x * 3) = 2(15 + -1x) + -1 (-15 + 6x) = 2(15 + -1x) + -1 -15 + 6x = (15 * 2 + -1x * 2) + -1 -15 + 6x = (30 + -2x) + -1 Reorder the terms: -15 + 6x = 30 + -1 + -2x Combine like terms: 30 + -1 = 29 -15 + 6x = 29 + -2x Solving -15 + 6x = 29 + -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 = 29 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = 29 + 0 -15 + 8x = 29 Add '15' to each side of the equation. -15 + 15 + 8x = 29 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 29 + 15 8x = 29 + 15 Combine like terms: 29 + 15 = 44 8x = 44 Divide each side by '8'. x = 5.5 Simplifying x = 5.5
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