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Simplifying -6(-4x + -11) = -10(x + -10) Reorder the terms: -6(-11 + -4x) = -10(x + -10) (-11 * -6 + -4x * -6) = -10(x + -10) (66 + 24x) = -10(x + -10) Reorder the terms: 66 + 24x = -10(-10 + x) 66 + 24x = (-10 * -10 + x * -10) 66 + 24x = (100 + -10x) Solving 66 + 24x = 100 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 66 + 24x + 10x = 100 + -10x + 10x Combine like terms: 24x + 10x = 34x 66 + 34x = 100 + -10x + 10x Combine like terms: -10x + 10x = 0 66 + 34x = 100 + 0 66 + 34x = 100 Add '-66' to each side of the equation. 66 + -66 + 34x = 100 + -66 Combine like terms: 66 + -66 = 0 0 + 34x = 100 + -66 34x = 100 + -66 Combine like terms: 100 + -66 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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