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Simplifying 0.5x + 1 = 3x + -9 Reorder the terms: 1 + 0.5x = 3x + -9 Reorder the terms: 1 + 0.5x = -9 + 3x Solving 1 + 0.5x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 0.5x + -3x = -9 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 1 + -2.5x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -2.5x = -9 + 0 1 + -2.5x = -9 Add '-1' to each side of the equation. 1 + -1 + -2.5x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -2.5x = -9 + -1 -2.5x = -9 + -1 Combine like terms: -9 + -1 = -10 -2.5x = -10 Divide each side by '-2.5'. x = 4 Simplifying x = 4
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