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Simplifying 1 + 4(x + 2) = 5(x + -1) Reorder the terms: 1 + 4(2 + x) = 5(x + -1) 1 + (2 * 4 + x * 4) = 5(x + -1) 1 + (8 + 4x) = 5(x + -1) Combine like terms: 1 + 8 = 9 9 + 4x = 5(x + -1) Reorder the terms: 9 + 4x = 5(-1 + x) 9 + 4x = (-1 * 5 + x * 5) 9 + 4x = (-5 + 5x) Solving 9 + 4x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 4x + -5x = -5 + 5x + -5x Combine like terms: 4x + -5x = -1x 9 + -1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -1x = -5 + 0 9 + -1x = -5 Add '-9' to each side of the equation. 9 + -9 + -1x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -5 + -9 -1x = -5 + -9 Combine like terms: -5 + -9 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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