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Simplifying 5(x + 1) + x + 4 = 1 + 2x Reorder the terms: 5(1 + x) + x + 4 = 1 + 2x (1 * 5 + x * 5) + x + 4 = 1 + 2x (5 + 5x) + x + 4 = 1 + 2x Reorder the terms: 5 + 4 + 5x + x = 1 + 2x Combine like terms: 5 + 4 = 9 9 + 5x + x = 1 + 2x Combine like terms: 5x + x = 6x 9 + 6x = 1 + 2x Solving 9 + 6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = 1 + 0 9 + 4x = 1 Add '-9' to each side of the equation. 9 + -9 + 4x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 1 + -9 4x = 1 + -9 Combine like terms: 1 + -9 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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