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Simplifying -2x + 2 = -3(2x + 10) Reorder the terms: 2 + -2x = -3(2x + 10) Reorder the terms: 2 + -2x = -3(10 + 2x) 2 + -2x = (10 * -3 + 2x * -3) 2 + -2x = (-30 + -6x) Solving 2 + -2x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + -2x + 6x = -30 + -6x + 6x Combine like terms: -2x + 6x = 4x 2 + 4x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 4x = -30 + 0 2 + 4x = -30 Add '-2' to each side of the equation. 2 + -2 + 4x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -30 + -2 4x = -30 + -2 Combine like terms: -30 + -2 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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