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Simplifying 2(2x + -5) + -2(3x + 1) = 18 Reorder the terms: 2(-5 + 2x) + -2(3x + 1) = 18 (-5 * 2 + 2x * 2) + -2(3x + 1) = 18 (-10 + 4x) + -2(3x + 1) = 18 Reorder the terms: -10 + 4x + -2(1 + 3x) = 18 -10 + 4x + (1 * -2 + 3x * -2) = 18 -10 + 4x + (-2 + -6x) = 18 Reorder the terms: -10 + -2 + 4x + -6x = 18 Combine like terms: -10 + -2 = -12 -12 + 4x + -6x = 18 Combine like terms: 4x + -6x = -2x -12 + -2x = 18 Solving -12 + -2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 18 + 12 -2x = 18 + 12 Combine like terms: 18 + 12 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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