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Simplifying 53x + 0.5 = 27(0.5 + 2x) Reorder the terms: 0.5 + 53x = 27(0.5 + 2x) 0.5 + 53x = (0.5 * 27 + 2x * 27) 0.5 + 53x = (13.5 + 54x) Solving 0.5 + 53x = 13.5 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 0.5 + 53x + -54x = 13.5 + 54x + -54x Combine like terms: 53x + -54x = -1x 0.5 + -1x = 13.5 + 54x + -54x Combine like terms: 54x + -54x = 0 0.5 + -1x = 13.5 + 0 0.5 + -1x = 13.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = 13.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = 13.5 + -0.5 -1x = 13.5 + -0.5 Combine like terms: 13.5 + -0.5 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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