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Simplifying -1x + -10 = -6(4x + -6) Reorder the terms: -10 + -1x = -6(4x + -6) Reorder the terms: -10 + -1x = -6(-6 + 4x) -10 + -1x = (-6 * -6 + 4x * -6) -10 + -1x = (36 + -24x) Solving -10 + -1x = 36 + -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. -10 + -1x + 24x = 36 + -24x + 24x Combine like terms: -1x + 24x = 23x -10 + 23x = 36 + -24x + 24x Combine like terms: -24x + 24x = 0 -10 + 23x = 36 + 0 -10 + 23x = 36 Add '10' to each side of the equation. -10 + 10 + 23x = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 23x = 36 + 10 23x = 36 + 10 Combine like terms: 36 + 10 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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