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Simplifying 13x + 27 = 16x + 4.5 Reorder the terms: 27 + 13x = 16x + 4.5 Reorder the terms: 27 + 13x = 4.5 + 16x Solving 27 + 13x = 4.5 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 27 + 13x + -16x = 4.5 + 16x + -16x Combine like terms: 13x + -16x = -3x 27 + -3x = 4.5 + 16x + -16x Combine like terms: 16x + -16x = 0 27 + -3x = 4.5 + 0 27 + -3x = 4.5 Add '-27' to each side of the equation. 27 + -27 + -3x = 4.5 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 4.5 + -27 -3x = 4.5 + -27 Combine like terms: 4.5 + -27 = -22.5 -3x = -22.5 Divide each side by '-3'. x = 7.5 Simplifying x = 7.5
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