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Simplifying 3(x + -5) = 2(3x + 4) + -5(x + -6) Reorder the terms: 3(-5 + x) = 2(3x + 4) + -5(x + -6) (-5 * 3 + x * 3) = 2(3x + 4) + -5(x + -6) (-15 + 3x) = 2(3x + 4) + -5(x + -6) Reorder the terms: -15 + 3x = 2(4 + 3x) + -5(x + -6) -15 + 3x = (4 * 2 + 3x * 2) + -5(x + -6) -15 + 3x = (8 + 6x) + -5(x + -6) Reorder the terms: -15 + 3x = 8 + 6x + -5(-6 + x) -15 + 3x = 8 + 6x + (-6 * -5 + x * -5) -15 + 3x = 8 + 6x + (30 + -5x) Reorder the terms: -15 + 3x = 8 + 30 + 6x + -5x Combine like terms: 8 + 30 = 38 -15 + 3x = 38 + 6x + -5x Combine like terms: 6x + -5x = 1x -15 + 3x = 38 + 1x Solving -15 + 3x = 38 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 3x + -1x = 38 + 1x + -1x Combine like terms: 3x + -1x = 2x -15 + 2x = 38 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 2x = 38 + 0 -15 + 2x = 38 Add '15' to each side of the equation. -15 + 15 + 2x = 38 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 38 + 15 2x = 38 + 15 Combine like terms: 38 + 15 = 53 2x = 53 Divide each side by '2'. x = 26.5 Simplifying x = 26.5
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