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Simplifying 4(x + -2) + 1 + 3x = 5(x + 1) Reorder the terms: 4(-2 + x) + 1 + 3x = 5(x + 1) (-2 * 4 + x * 4) + 1 + 3x = 5(x + 1) (-8 + 4x) + 1 + 3x = 5(x + 1) Reorder the terms: -8 + 1 + 4x + 3x = 5(x + 1) Combine like terms: -8 + 1 = -7 -7 + 4x + 3x = 5(x + 1) Combine like terms: 4x + 3x = 7x -7 + 7x = 5(x + 1) Reorder the terms: -7 + 7x = 5(1 + x) -7 + 7x = (1 * 5 + x * 5) -7 + 7x = (5 + 5x) Solving -7 + 7x = 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. -7 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x -7 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 2x = 5 + 0 -7 + 2x = 5 Add '7' to each side of the equation. -7 + 7 + 2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 5 + 7 2x = 5 + 7 Combine like terms: 5 + 7 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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