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Simplifying 5 + -1(6x + 3) = 2(2 + -2x) Reorder the terms: 5 + -1(3 + 6x) = 2(2 + -2x) 5 + (3 * -1 + 6x * -1) = 2(2 + -2x) 5 + (-3 + -6x) = 2(2 + -2x) Combine like terms: 5 + -3 = 2 2 + -6x = 2(2 + -2x) 2 + -6x = (2 * 2 + -2x * 2) 2 + -6x = (4 + -4x) Solving 2 + -6x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -6x + 4x = 4 + -4x + 4x Combine like terms: -6x + 4x = -2x 2 + -2x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + -2x = 4 + 0 2 + -2x = 4 Add '-2' to each side of the equation. 2 + -2 + -2x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 4 + -2 -2x = 4 + -2 Combine like terms: 4 + -2 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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