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Simplifying 3(x + 1) + 7(2 + -1x) + -10(x + -0.5) = 0 Reorder the terms: 3(1 + x) + 7(2 + -1x) + -10(x + -0.5) = 0 (1 * 3 + x * 3) + 7(2 + -1x) + -10(x + -0.5) = 0 (3 + 3x) + 7(2 + -1x) + -10(x + -0.5) = 0 3 + 3x + (2 * 7 + -1x * 7) + -10(x + -0.5) = 0 3 + 3x + (14 + -7x) + -10(x + -0.5) = 0 Reorder the terms: 3 + 3x + 14 + -7x + -10(-0.5 + x) = 0 3 + 3x + 14 + -7x + (-0.5 * -10 + x * -10) = 0 3 + 3x + 14 + -7x + (5 + -10x) = 0 Reorder the terms: 3 + 14 + 5 + 3x + -7x + -10x = 0 Combine like terms: 3 + 14 = 17 17 + 5 + 3x + -7x + -10x = 0 Combine like terms: 17 + 5 = 22 22 + 3x + -7x + -10x = 0 Combine like terms: 3x + -7x = -4x 22 + -4x + -10x = 0 Combine like terms: -4x + -10x = -14x 22 + -14x = 0 Solving 22 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -14x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -14x = 0 + -22 -14x = 0 + -22 Combine like terms: 0 + -22 = -22 -14x = -22 Divide each side by '-14'. x = 1.571428571 Simplifying x = 1.571428571
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