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Simplifying -1(4x + -6) = 10 + -2x Reorder the terms: -1(-6 + 4x) = 10 + -2x (-6 * -1 + 4x * -1) = 10 + -2x (6 + -4x) = 10 + -2x Solving 6 + -4x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -4x + 2x = 10 + -2x + 2x Combine like terms: -4x + 2x = -2x 6 + -2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -2x = 10 + 0 6 + -2x = 10 Add '-6' to each side of the equation. 6 + -6 + -2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 10 + -6 -2x = 10 + -6 Combine like terms: 10 + -6 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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