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Simplifying 2x + -1(3x + 4) + 3(5x + -1) = 0 Reorder the terms: 2x + -1(4 + 3x) + 3(5x + -1) = 0 2x + (4 * -1 + 3x * -1) + 3(5x + -1) = 0 2x + (-4 + -3x) + 3(5x + -1) = 0 Reorder the terms: 2x + -4 + -3x + 3(-1 + 5x) = 0 2x + -4 + -3x + (-1 * 3 + 5x * 3) = 0 2x + -4 + -3x + (-3 + 15x) = 0 Reorder the terms: -4 + -3 + 2x + -3x + 15x = 0 Combine like terms: -4 + -3 = -7 -7 + 2x + -3x + 15x = 0 Combine like terms: 2x + -3x = -1x -7 + -1x + 15x = 0 Combine like terms: -1x + 15x = 14x -7 + 14x = 0 Solving -7 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 0 + 7 14x = 0 + 7 Combine like terms: 0 + 7 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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