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Simplifying (x + 1) + 5(x + -4) = 2x + 1 Reorder the terms: (1 + x) + 5(x + -4) = 2x + 1 Remove parenthesis around (1 + x) 1 + x + 5(x + -4) = 2x + 1 Reorder the terms: 1 + x + 5(-4 + x) = 2x + 1 1 + x + (-4 * 5 + x * 5) = 2x + 1 1 + x + (-20 + 5x) = 2x + 1 Reorder the terms: 1 + -20 + x + 5x = 2x + 1 Combine like terms: 1 + -20 = -19 -19 + x + 5x = 2x + 1 Combine like terms: x + 5x = 6x -19 + 6x = 2x + 1 Reorder the terms: -19 + 6x = 1 + 2x Solving -19 + 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. -19 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -19 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 4x = 1 + 0 -19 + 4x = 1 Add '19' to each side of the equation. -19 + 19 + 4x = 1 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 1 + 19 4x = 1 + 19 Combine like terms: 1 + 19 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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