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Simplifying 3(x + -5) = 2x + -1(x + 3) Reorder the terms: 3(-5 + x) = 2x + -1(x + 3) (-5 * 3 + x * 3) = 2x + -1(x + 3) (-15 + 3x) = 2x + -1(x + 3) Reorder the terms: -15 + 3x = 2x + -1(3 + x) -15 + 3x = 2x + (3 * -1 + x * -1) -15 + 3x = 2x + (-3 + -1x) Reorder the terms: -15 + 3x = -3 + 2x + -1x Combine like terms: 2x + -1x = 1x -15 + 3x = -3 + 1x Solving -15 + 3x = -3 + 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 = -3 + 1x + -1x Combine like terms: 3x + -1x = 2x -15 + 2x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 2x = -3 + 0 -15 + 2x = -3 Add '15' to each side of the equation. -15 + 15 + 2x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -3 + 15 2x = -3 + 15 Combine like terms: -3 + 15 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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