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Simplifying -6(2x + -11) + -1x = 7x + -2(5 + 5x) Reorder the terms: -6(-11 + 2x) + -1x = 7x + -2(5 + 5x) (-11 * -6 + 2x * -6) + -1x = 7x + -2(5 + 5x) (66 + -12x) + -1x = 7x + -2(5 + 5x) Combine like terms: -12x + -1x = -13x 66 + -13x = 7x + -2(5 + 5x) 66 + -13x = 7x + (5 * -2 + 5x * -2) 66 + -13x = 7x + (-10 + -10x) Reorder the terms: 66 + -13x = -10 + 7x + -10x Combine like terms: 7x + -10x = -3x 66 + -13x = -10 + -3x Solving 66 + -13x = -10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 66 + -13x + 3x = -10 + -3x + 3x Combine like terms: -13x + 3x = -10x 66 + -10x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 66 + -10x = -10 + 0 66 + -10x = -10 Add '-66' to each side of the equation. 66 + -66 + -10x = -10 + -66 Combine like terms: 66 + -66 = 0 0 + -10x = -10 + -66 -10x = -10 + -66 Combine like terms: -10 + -66 = -76 -10x = -76 Divide each side by '-10'. x = 7.6 Simplifying x = 7.6
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