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Simplifying 3(2x + -5) = 2(15 + x) + -1 Reorder the terms: 3(-5 + 2x) = 2(15 + x) + -1 (-5 * 3 + 2x * 3) = 2(15 + x) + -1 (-15 + 6x) = 2(15 + x) + -1 -15 + 6x = (15 * 2 + x * 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 = 4x -15 + 4x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = 29 + 0 -15 + 4x = 29 Add '15' to each side of the equation. -15 + 15 + 4x = 29 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 29 + 15 4x = 29 + 15 Combine like terms: 29 + 15 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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