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Simplifying 3x + -2(2x + 5) = 12 + 2(x + -5) Reorder the terms: 3x + -2(5 + 2x) = 12 + 2(x + -5) 3x + (5 * -2 + 2x * -2) = 12 + 2(x + -5) 3x + (-10 + -4x) = 12 + 2(x + -5) Reorder the terms: -10 + 3x + -4x = 12 + 2(x + -5) Combine like terms: 3x + -4x = -1x -10 + -1x = 12 + 2(x + -5) Reorder the terms: -10 + -1x = 12 + 2(-5 + x) -10 + -1x = 12 + (-5 * 2 + x * 2) -10 + -1x = 12 + (-10 + 2x) Combine like terms: 12 + -10 = 2 -10 + -1x = 2 + 2x Solving -10 + -1x = 2 + 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. -10 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x -10 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -3x = 2 + 0 -10 + -3x = 2 Add '10' to each side of the equation. -10 + 10 + -3x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 2 + 10 -3x = 2 + 10 Combine like terms: 2 + 10 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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