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Simplifying 3(x + -5) + -2(-1x) = 3 + -3(4 + -1x) Reorder the terms: 3(-5 + x) + -2(-1x) = 3 + -3(4 + -1x) (-5 * 3 + x * 3) + -2(-1x) = 3 + -3(4 + -1x) (-15 + 3x) + -2(-1x) = 3 + -3(4 + -1x) Remove parenthesis around (-1x) -15 + 3x + -2 * -1x = 3 + -3(4 + -1x) Multiply -2 * -1 -15 + 3x + 2x = 3 + -3(4 + -1x) Combine like terms: 3x + 2x = 5x -15 + 5x = 3 + -3(4 + -1x) -15 + 5x = 3 + (4 * -3 + -1x * -3) -15 + 5x = 3 + (-12 + 3x) Combine like terms: 3 + -12 = -9 -15 + 5x = -9 + 3x Solving -15 + 5x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x -15 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 2x = -9 + 0 -15 + 2x = -9 Add '15' to each side of the equation. -15 + 15 + 2x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -9 + 15 2x = -9 + 15 Combine like terms: -9 + 15 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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