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Simplifying 0.5x + 1 = 3.5x + 13 Reorder the terms: 1 + 0.5x = 3.5x + 13 Reorder the terms: 1 + 0.5x = 13 + 3.5x Solving 1 + 0.5x = 13 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 1 + 0.5x + -3.5x = 13 + 3.5x + -3.5x Combine like terms: 0.5x + -3.5x = -3x 1 + -3x = 13 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 1 + -3x = 13 + 0.0 1 + -3x = 13 Add '-1' to each side of the equation. 1 + -1 + -3x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 13 + -1 -3x = 13 + -1 Combine like terms: 13 + -1 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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