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Simplifying (12x + 1) + 2(x + -4) + -1(x + -15) = 0 Reorder the terms: (1 + 12x) + 2(x + -4) + -1(x + -15) = 0 Remove parenthesis around (1 + 12x) 1 + 12x + 2(x + -4) + -1(x + -15) = 0 Reorder the terms: 1 + 12x + 2(-4 + x) + -1(x + -15) = 0 1 + 12x + (-4 * 2 + x * 2) + -1(x + -15) = 0 1 + 12x + (-8 + 2x) + -1(x + -15) = 0 Reorder the terms: 1 + 12x + -8 + 2x + -1(-15 + x) = 0 1 + 12x + -8 + 2x + (-15 * -1 + x * -1) = 0 1 + 12x + -8 + 2x + (15 + -1x) = 0 Reorder the terms: 1 + -8 + 15 + 12x + 2x + -1x = 0 Combine like terms: 1 + -8 = -7 -7 + 15 + 12x + 2x + -1x = 0 Combine like terms: -7 + 15 = 8 8 + 12x + 2x + -1x = 0 Combine like terms: 12x + 2x = 14x 8 + 14x + -1x = 0 Combine like terms: 14x + -1x = 13x 8 + 13x = 0 Solving 8 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 0 + -8 13x = 0 + -8 Combine like terms: 0 + -8 = -8 13x = -8 Divide each side by '13'. x = -0.6153846154 Simplifying x = -0.6153846154
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