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Simplifying -6x + 7 + -6(x + -1) = -6x + -1(5x + -4) + 6 Reorder the terms: -6x + 7 + -6(-1 + x) = -6x + -1(5x + -4) + 6 -6x + 7 + (-1 * -6 + x * -6) = -6x + -1(5x + -4) + 6 -6x + 7 + (6 + -6x) = -6x + -1(5x + -4) + 6 Reorder the terms: 7 + 6 + -6x + -6x = -6x + -1(5x + -4) + 6 Combine like terms: 7 + 6 = 13 13 + -6x + -6x = -6x + -1(5x + -4) + 6 Combine like terms: -6x + -6x = -12x 13 + -12x = -6x + -1(5x + -4) + 6 Reorder the terms: 13 + -12x = -6x + -1(-4 + 5x) + 6 13 + -12x = -6x + (-4 * -1 + 5x * -1) + 6 13 + -12x = -6x + (4 + -5x) + 6 Reorder the terms: 13 + -12x = 4 + 6 + -6x + -5x Combine like terms: 4 + 6 = 10 13 + -12x = 10 + -6x + -5x Combine like terms: -6x + -5x = -11x 13 + -12x = 10 + -11x Solving 13 + -12x = 10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 13 + -12x + 11x = 10 + -11x + 11x Combine like terms: -12x + 11x = -1x 13 + -1x = 10 + -11x + 11x Combine like terms: -11x + 11x = 0 13 + -1x = 10 + 0 13 + -1x = 10 Add '-13' to each side of the equation. 13 + -13 + -1x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 10 + -13 -1x = 10 + -13 Combine like terms: 10 + -13 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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