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Simplifying 5(3x + -2) = -3(7 + -1x) Reorder the terms: 5(-2 + 3x) = -3(7 + -1x) (-2 * 5 + 3x * 5) = -3(7 + -1x) (-10 + 15x) = -3(7 + -1x) -10 + 15x = (7 * -3 + -1x * -3) -10 + 15x = (-21 + 3x) Solving -10 + 15x = -21 + 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. -10 + 15x + -3x = -21 + 3x + -3x Combine like terms: 15x + -3x = 12x -10 + 12x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 12x = -21 + 0 -10 + 12x = -21 Add '10' to each side of the equation. -10 + 10 + 12x = -21 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = -21 + 10 12x = -21 + 10 Combine like terms: -21 + 10 = -11 12x = -11 Divide each side by '12'. x = -0.9166666667 Simplifying x = -0.9166666667
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