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Simplifying -6x + 2(x + 1) = -2(2 + 3) Reorder the terms: -6x + 2(1 + x) = -2(2 + 3) -6x + (1 * 2 + x * 2) = -2(2 + 3) -6x + (2 + 2x) = -2(2 + 3) Reorder the terms: 2 + -6x + 2x = -2(2 + 3) Combine like terms: -6x + 2x = -4x 2 + -4x = -2(2 + 3) Combine like terms: 2 + 3 = 5 2 + -4x = -2(5) Multiply -2 * 5 2 + -4x = -10 Solving 2 + -4x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -10 + -2 -4x = -10 + -2 Combine like terms: -10 + -2 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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