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