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Simplifying 0.6x + 13 = x + 0.5 Reorder the terms: 13 + 0.6x = x + 0.5 Reorder the terms: 13 + 0.6x = 0.5 + x Solving 13 + 0.6x = 0.5 + x 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. 13 + 0.6x + -1x = 0.5 + x + -1x Combine like terms: 0.6x + -1x = -0.4x 13 + -0.4x = 0.5 + x + -1x Combine like terms: x + -1x = 0 13 + -0.4x = 0.5 + 0 13 + -0.4x = 0.5 Add '-13' to each side of the equation. 13 + -13 + -0.4x = 0.5 + -13 Combine like terms: 13 + -13 = 0 0 + -0.4x = 0.5 + -13 -0.4x = 0.5 + -13 Combine like terms: 0.5 + -13 = -12.5 -0.4x = -12.5 Divide each side by '-0.4'. x = 31.25 Simplifying x = 31.25
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