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Simplifying -1x + -1(5 + 13x) + 10 = -6(4x + 11) + -9 -1x + (5 * -1 + 13x * -1) + 10 = -6(4x + 11) + -9 -1x + (-5 + -13x) + 10 = -6(4x + 11) + -9 Reorder the terms: -5 + 10 + -1x + -13x = -6(4x + 11) + -9 Combine like terms: -5 + 10 = 5 5 + -1x + -13x = -6(4x + 11) + -9 Combine like terms: -1x + -13x = -14x 5 + -14x = -6(4x + 11) + -9 Reorder the terms: 5 + -14x = -6(11 + 4x) + -9 5 + -14x = (11 * -6 + 4x * -6) + -9 5 + -14x = (-66 + -24x) + -9 Reorder the terms: 5 + -14x = -66 + -9 + -24x Combine like terms: -66 + -9 = -75 5 + -14x = -75 + -24x Solving 5 + -14x = -75 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 5 + -14x + 24x = -75 + -24x + 24x Combine like terms: -14x + 24x = 10x 5 + 10x = -75 + -24x + 24x Combine like terms: -24x + 24x = 0 5 + 10x = -75 + 0 5 + 10x = -75 Add '-5' to each side of the equation. 5 + -5 + 10x = -75 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = -75 + -5 10x = -75 + -5 Combine like terms: -75 + -5 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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