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Simplifying -7x + 6 + -5(x + -1) = -5x + -6(x + -4) + 5 Reorder the terms: -7x + 6 + -5(-1 + x) = -5x + -6(x + -4) + 5 -7x + 6 + (-1 * -5 + x * -5) = -5x + -6(x + -4) + 5 -7x + 6 + (5 + -5x) = -5x + -6(x + -4) + 5 Reorder the terms: 6 + 5 + -7x + -5x = -5x + -6(x + -4) + 5 Combine like terms: 6 + 5 = 11 11 + -7x + -5x = -5x + -6(x + -4) + 5 Combine like terms: -7x + -5x = -12x 11 + -12x = -5x + -6(x + -4) + 5 Reorder the terms: 11 + -12x = -5x + -6(-4 + x) + 5 11 + -12x = -5x + (-4 * -6 + x * -6) + 5 11 + -12x = -5x + (24 + -6x) + 5 Reorder the terms: 11 + -12x = 24 + 5 + -5x + -6x Combine like terms: 24 + 5 = 29 11 + -12x = 29 + -5x + -6x Combine like terms: -5x + -6x = -11x 11 + -12x = 29 + -11x Solving 11 + -12x = 29 + -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. 11 + -12x + 11x = 29 + -11x + 11x Combine like terms: -12x + 11x = -1x 11 + -1x = 29 + -11x + 11x Combine like terms: -11x + 11x = 0 11 + -1x = 29 + 0 11 + -1x = 29 Add '-11' to each side of the equation. 11 + -11 + -1x = 29 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 29 + -11 -1x = 29 + -11 Combine like terms: 29 + -11 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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