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Simplifying -2x + 2 = 5(x + 3) + -20 Reorder the terms: 2 + -2x = 5(x + 3) + -20 Reorder the terms: 2 + -2x = 5(3 + x) + -20 2 + -2x = (3 * 5 + x * 5) + -20 2 + -2x = (15 + 5x) + -20 Reorder the terms: 2 + -2x = 15 + -20 + 5x Combine like terms: 15 + -20 = -5 2 + -2x = -5 + 5x Solving 2 + -2x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -2x + -5x = -5 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = -5 + 0 2 + -7x = -5 Add '-2' to each side of the equation. 2 + -2 + -7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -5 + -2 -7x = -5 + -2 Combine like terms: -5 + -2 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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