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Simplifying -6(2x + -1) + 7x = 6 + 2(5x + -5) Reorder the terms: -6(-1 + 2x) + 7x = 6 + 2(5x + -5) (-1 * -6 + 2x * -6) + 7x = 6 + 2(5x + -5) (6 + -12x) + 7x = 6 + 2(5x + -5) Combine like terms: -12x + 7x = -5x 6 + -5x = 6 + 2(5x + -5) Reorder the terms: 6 + -5x = 6 + 2(-5 + 5x) 6 + -5x = 6 + (-5 * 2 + 5x * 2) 6 + -5x = 6 + (-10 + 10x) Combine like terms: 6 + -10 = -4 6 + -5x = -4 + 10x Solving 6 + -5x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + -5x + -10x = -4 + 10x + -10x Combine like terms: -5x + -10x = -15x 6 + -15x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -15x = -4 + 0 6 + -15x = -4 Add '-6' to each side of the equation. 6 + -6 + -15x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -4 + -6 -15x = -4 + -6 Combine like terms: -4 + -6 = -10 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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