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Simplifying 7 + -5x + 11 = -7(x + 10) + -12(x + -5) Reorder the terms: 7 + 11 + -5x = -7(x + 10) + -12(x + -5) Combine like terms: 7 + 11 = 18 18 + -5x = -7(x + 10) + -12(x + -5) Reorder the terms: 18 + -5x = -7(10 + x) + -12(x + -5) 18 + -5x = (10 * -7 + x * -7) + -12(x + -5) 18 + -5x = (-70 + -7x) + -12(x + -5) Reorder the terms: 18 + -5x = -70 + -7x + -12(-5 + x) 18 + -5x = -70 + -7x + (-5 * -12 + x * -12) 18 + -5x = -70 + -7x + (60 + -12x) Reorder the terms: 18 + -5x = -70 + 60 + -7x + -12x Combine like terms: -70 + 60 = -10 18 + -5x = -10 + -7x + -12x Combine like terms: -7x + -12x = -19x 18 + -5x = -10 + -19x Solving 18 + -5x = -10 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 18 + -5x + 19x = -10 + -19x + 19x Combine like terms: -5x + 19x = 14x 18 + 14x = -10 + -19x + 19x Combine like terms: -19x + 19x = 0 18 + 14x = -10 + 0 18 + 14x = -10 Add '-18' to each side of the equation. 18 + -18 + 14x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = -10 + -18 14x = -10 + -18 Combine like terms: -10 + -18 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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