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Simplifying 5(x + -3) + -2 = -5(-3x + 4) + -1x Reorder the terms: 5(-3 + x) + -2 = -5(-3x + 4) + -1x (-3 * 5 + x * 5) + -2 = -5(-3x + 4) + -1x (-15 + 5x) + -2 = -5(-3x + 4) + -1x Reorder the terms: -15 + -2 + 5x = -5(-3x + 4) + -1x Combine like terms: -15 + -2 = -17 -17 + 5x = -5(-3x + 4) + -1x Reorder the terms: -17 + 5x = -5(4 + -3x) + -1x -17 + 5x = (4 * -5 + -3x * -5) + -1x -17 + 5x = (-20 + 15x) + -1x Combine like terms: 15x + -1x = 14x -17 + 5x = -20 + 14x Solving -17 + 5x = -20 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -17 + 5x + -14x = -20 + 14x + -14x Combine like terms: 5x + -14x = -9x -17 + -9x = -20 + 14x + -14x Combine like terms: 14x + -14x = 0 -17 + -9x = -20 + 0 -17 + -9x = -20 Add '17' to each side of the equation. -17 + 17 + -9x = -20 + 17 Combine like terms: -17 + 17 = 0 0 + -9x = -20 + 17 -9x = -20 + 17 Combine like terms: -20 + 17 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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