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Simplifying 2(2x + -5) + -2 = 2(x + -3) + 10 Reorder the terms: 2(-5 + 2x) + -2 = 2(x + -3) + 10 (-5 * 2 + 2x * 2) + -2 = 2(x + -3) + 10 (-10 + 4x) + -2 = 2(x + -3) + 10 Reorder the terms: -10 + -2 + 4x = 2(x + -3) + 10 Combine like terms: -10 + -2 = -12 -12 + 4x = 2(x + -3) + 10 Reorder the terms: -12 + 4x = 2(-3 + x) + 10 -12 + 4x = (-3 * 2 + x * 2) + 10 -12 + 4x = (-6 + 2x) + 10 Reorder the terms: -12 + 4x = -6 + 10 + 2x Combine like terms: -6 + 10 = 4 -12 + 4x = 4 + 2x Solving -12 + 4x = 4 + 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. -12 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 4 + 0 -12 + 2x = 4 Add '12' to each side of the equation. -12 + 12 + 2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 4 + 12 2x = 4 + 12 Combine like terms: 4 + 12 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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