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Simplifying 2(0.5x + 7) + -3(1.5x + 5) = 0 Reorder the terms: 2(7 + 0.5x) + -3(1.5x + 5) = 0 (7 * 2 + 0.5x * 2) + -3(1.5x + 5) = 0 (14 + 1x) + -3(1.5x + 5) = 0 Reorder the terms: 14 + 1x + -3(5 + 1.5x) = 0 14 + 1x + (5 * -3 + 1.5x * -3) = 0 14 + 1x + (-15 + -4.5x) = 0 Reorder the terms: 14 + -15 + 1x + -4.5x = 0 Combine like terms: 14 + -15 = -1 -1 + 1x + -4.5x = 0 Combine like terms: 1x + -4.5x = -3.5x -1 + -3.5x = 0 Solving -1 + -3.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3.5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3.5x = 0 + 1 -3.5x = 0 + 1 Combine like terms: 0 + 1 = 1 -3.5x = 1 Divide each side by '-3.5'. x = -0.2857142857 Simplifying x = -0.2857142857
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