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Simplifying -1(2x + 1) + 3(5x + -4) = 0 Reorder the terms: -1(1 + 2x) + 3(5x + -4) = 0 (1 * -1 + 2x * -1) + 3(5x + -4) = 0 (-1 + -2x) + 3(5x + -4) = 0 Reorder the terms: -1 + -2x + 3(-4 + 5x) = 0 -1 + -2x + (-4 * 3 + 5x * 3) = 0 -1 + -2x + (-12 + 15x) = 0 Reorder the terms: -1 + -12 + -2x + 15x = 0 Combine like terms: -1 + -12 = -13 -13 + -2x + 15x = 0 Combine like terms: -2x + 15x = 13x -13 + 13x = 0 Solving -13 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 13x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 13x = 0 + 13 13x = 0 + 13 Combine like terms: 0 + 13 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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