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Simplifying -1(12 + -4x) + 1(13x + 1) = 0 (12 * -1 + -4x * -1) + 1(13x + 1) = 0 (-12 + 4x) + 1(13x + 1) = 0 Reorder the terms: -12 + 4x + 1(1 + 13x) = 0 -12 + 4x + (1 * 1 + 13x * 1) = 0 -12 + 4x + (1 + 13x) = 0 Reorder the terms: -12 + 1 + 4x + 13x = 0 Combine like terms: -12 + 1 = -11 -11 + 4x + 13x = 0 Combine like terms: 4x + 13x = 17x -11 + 17x = 0 Solving -11 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 17x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 17x = 0 + 11 17x = 0 + 11 Combine like terms: 0 + 11 = 11 17x = 11 Divide each side by '17'. x = 0.6470588235 Simplifying x = 0.6470588235
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