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Simplifying 13x + -6 = 0.5(2x + 60) Reorder the terms: -6 + 13x = 0.5(2x + 60) Reorder the terms: -6 + 13x = 0.5(60 + 2x) -6 + 13x = (60 * 0.5 + 2x * 0.5) -6 + 13x = (30 + 1x) Solving -6 + 13x = 30 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 13x + -1x = 30 + 1x + -1x Combine like terms: 13x + -1x = 12x -6 + 12x = 30 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 12x = 30 + 0 -6 + 12x = 30 Add '6' to each side of the equation. -6 + 6 + 12x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 30 + 6 12x = 30 + 6 Combine like terms: 30 + 6 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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