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Simplifying 3(x + 1) + -8x = -1(x + -10) + (2x + -3) Reorder the terms: 3(1 + x) + -8x = -1(x + -10) + (2x + -3) (1 * 3 + x * 3) + -8x = -1(x + -10) + (2x + -3) (3 + 3x) + -8x = -1(x + -10) + (2x + -3) Combine like terms: 3x + -8x = -5x 3 + -5x = -1(x + -10) + (2x + -3) Reorder the terms: 3 + -5x = -1(-10 + x) + (2x + -3) 3 + -5x = (-10 * -1 + x * -1) + (2x + -3) 3 + -5x = (10 + -1x) + (2x + -3) Reorder the terms: 3 + -5x = 10 + -1x + (-3 + 2x) Remove parenthesis around (-3 + 2x) 3 + -5x = 10 + -1x + -3 + 2x Reorder the terms: 3 + -5x = 10 + -3 + -1x + 2x Combine like terms: 10 + -3 = 7 3 + -5x = 7 + -1x + 2x Combine like terms: -1x + 2x = 1x 3 + -5x = 7 + 1x Solving 3 + -5x = 7 + 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. 3 + -5x + -1x = 7 + 1x + -1x Combine like terms: -5x + -1x = -6x 3 + -6x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -6x = 7 + 0 3 + -6x = 7 Add '-3' to each side of the equation. 3 + -3 + -6x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 7 + -3 -6x = 7 + -3 Combine like terms: 7 + -3 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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