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Simplifying 5(2x + -1) + -1(x + -12) + 2(3x + -5) = 0 Reorder the terms: 5(-1 + 2x) + -1(x + -12) + 2(3x + -5) = 0 (-1 * 5 + 2x * 5) + -1(x + -12) + 2(3x + -5) = 0 (-5 + 10x) + -1(x + -12) + 2(3x + -5) = 0 Reorder the terms: -5 + 10x + -1(-12 + x) + 2(3x + -5) = 0 -5 + 10x + (-12 * -1 + x * -1) + 2(3x + -5) = 0 -5 + 10x + (12 + -1x) + 2(3x + -5) = 0 Reorder the terms: -5 + 10x + 12 + -1x + 2(-5 + 3x) = 0 -5 + 10x + 12 + -1x + (-5 * 2 + 3x * 2) = 0 -5 + 10x + 12 + -1x + (-10 + 6x) = 0 Reorder the terms: -5 + 12 + -10 + 10x + -1x + 6x = 0 Combine like terms: -5 + 12 = 7 7 + -10 + 10x + -1x + 6x = 0 Combine like terms: 7 + -10 = -3 -3 + 10x + -1x + 6x = 0 Combine like terms: 10x + -1x = 9x -3 + 9x + 6x = 0 Combine like terms: 9x + 6x = 15x -3 + 15x = 0 Solving -3 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 15x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 15x = 0 + 3 15x = 0 + 3 Combine like terms: 0 + 3 = 3 15x = 3 Divide each side by '15'. x = 0.2 Simplifying x = 0.2
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