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Simplifying (x + 1) + 4x = 3(x + -1) + 7 Reorder the terms: (1 + x) + 4x = 3(x + -1) + 7 Remove parenthesis around (1 + x) 1 + x + 4x = 3(x + -1) + 7 Combine like terms: x + 4x = 5x 1 + 5x = 3(x + -1) + 7 Reorder the terms: 1 + 5x = 3(-1 + x) + 7 1 + 5x = (-1 * 3 + x * 3) + 7 1 + 5x = (-3 + 3x) + 7 Reorder the terms: 1 + 5x = -3 + 7 + 3x Combine like terms: -3 + 7 = 4 1 + 5x = 4 + 3x Solving 1 + 5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x 1 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 2x = 4 + 0 1 + 2x = 4 Add '-1' to each side of the equation. 1 + -1 + 2x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 4 + -1 2x = 4 + -1 Combine like terms: 4 + -1 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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