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Simplifying -4(2x + -5) + 2x = 6(x + 1) Reorder the terms: -4(-5 + 2x) + 2x = 6(x + 1) (-5 * -4 + 2x * -4) + 2x = 6(x + 1) (20 + -8x) + 2x = 6(x + 1) Combine like terms: -8x + 2x = -6x 20 + -6x = 6(x + 1) Reorder the terms: 20 + -6x = 6(1 + x) 20 + -6x = (1 * 6 + x * 6) 20 + -6x = (6 + 6x) Solving 20 + -6x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + -6x + -6x = 6 + 6x + -6x Combine like terms: -6x + -6x = -12x 20 + -12x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -12x = 6 + 0 20 + -12x = 6 Add '-20' to each side of the equation. 20 + -20 + -12x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = 6 + -20 -12x = 6 + -20 Combine like terms: 6 + -20 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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