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Simplifying 4 + -1(6x + 6) = -1(-2x + 10) Reorder the terms: 4 + -1(6 + 6x) = -1(-2x + 10) 4 + (6 * -1 + 6x * -1) = -1(-2x + 10) 4 + (-6 + -6x) = -1(-2x + 10) Combine like terms: 4 + -6 = -2 -2 + -6x = -1(-2x + 10) Reorder the terms: -2 + -6x = -1(10 + -2x) -2 + -6x = (10 * -1 + -2x * -1) -2 + -6x = (-10 + 2x) Solving -2 + -6x = -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. -2 + -6x + -2x = -10 + 2x + -2x Combine like terms: -6x + -2x = -8x -2 + -8x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -8x = -10 + 0 -2 + -8x = -10 Add '2' to each side of the equation. -2 + 2 + -8x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -10 + 2 -8x = -10 + 2 Combine like terms: -10 + 2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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