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Simplifying -5(x + 2) = 3x + -1(2x + 3) Reorder the terms: -5(2 + x) = 3x + -1(2x + 3) (2 * -5 + x * -5) = 3x + -1(2x + 3) (-10 + -5x) = 3x + -1(2x + 3) Reorder the terms: -10 + -5x = 3x + -1(3 + 2x) -10 + -5x = 3x + (3 * -1 + 2x * -1) -10 + -5x = 3x + (-3 + -2x) Reorder the terms: -10 + -5x = -3 + 3x + -2x Combine like terms: 3x + -2x = 1x -10 + -5x = -3 + 1x Solving -10 + -5x = -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. -10 + -5x + -1x = -3 + 1x + -1x Combine like terms: -5x + -1x = -6x -10 + -6x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + -6x = -3 + 0 -10 + -6x = -3 Add '10' to each side of the equation. -10 + 10 + -6x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -3 + 10 -6x = -3 + 10 Combine like terms: -3 + 10 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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