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Simplifying 2x + -5(x + -3) = 8x + (-2 + x) Reorder the terms: 2x + -5(-3 + x) = 8x + (-2 + x) 2x + (-3 * -5 + x * -5) = 8x + (-2 + x) 2x + (15 + -5x) = 8x + (-2 + x) Reorder the terms: 15 + 2x + -5x = 8x + (-2 + x) Combine like terms: 2x + -5x = -3x 15 + -3x = 8x + (-2 + x) Remove parenthesis around (-2 + x) 15 + -3x = 8x + -2 + x Reorder the terms: 15 + -3x = -2 + 8x + x Combine like terms: 8x + x = 9x 15 + -3x = -2 + 9x Solving 15 + -3x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + -3x + -9x = -2 + 9x + -9x Combine like terms: -3x + -9x = -12x 15 + -12x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -12x = -2 + 0 15 + -12x = -2 Add '-15' to each side of the equation. 15 + -15 + -12x = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -2 + -15 -12x = -2 + -15 Combine like terms: -2 + -15 = -17 -12x = -17 Divide each side by '-12'. x = 1.416666667 Simplifying x = 1.416666667
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