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Simplifying -10 = 0.5(3x + 1) Reorder the terms: -10 = 0.5(1 + 3x) -10 = (1 * 0.5 + 3x * 0.5) -10 = (0.5 + 1.5x) Solving -10 = 0.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -10 + -1.5x = 0.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -10 + -1.5x = 0.5 + 0.0 -10 + -1.5x = 0.5 Add '10' to each side of the equation. -10 + 10 + -1.5x = 0.5 + 10 Combine like terms: -10 + 10 = 0 0 + -1.5x = 0.5 + 10 -1.5x = 0.5 + 10 Combine like terms: 0.5 + 10 = 10.5 -1.5x = 10.5 Divide each side by '-1.5'. x = -7 Simplifying x = -7
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