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Simplifying 4x + 17 = 12(5 + 4x) + -18 Reorder the terms: 17 + 4x = 12(5 + 4x) + -18 17 + 4x = (5 * 12 + 4x * 12) + -18 17 + 4x = (60 + 48x) + -18 Reorder the terms: 17 + 4x = 60 + -18 + 48x Combine like terms: 60 + -18 = 42 17 + 4x = 42 + 48x Solving 17 + 4x = 42 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 17 + 4x + -48x = 42 + 48x + -48x Combine like terms: 4x + -48x = -44x 17 + -44x = 42 + 48x + -48x Combine like terms: 48x + -48x = 0 17 + -44x = 42 + 0 17 + -44x = 42 Add '-17' to each side of the equation. 17 + -17 + -44x = 42 + -17 Combine like terms: 17 + -17 = 0 0 + -44x = 42 + -17 -44x = 42 + -17 Combine like terms: 42 + -17 = 25 -44x = 25 Divide each side by '-44'. x = -0.5681818182 Simplifying x = -0.5681818182
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