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Simplifying 4(x + 1) + 6(x + 3) = 5(x + -1) + 2 Reorder the terms: 4(1 + x) + 6(x + 3) = 5(x + -1) + 2 (1 * 4 + x * 4) + 6(x + 3) = 5(x + -1) + 2 (4 + 4x) + 6(x + 3) = 5(x + -1) + 2 Reorder the terms: 4 + 4x + 6(3 + x) = 5(x + -1) + 2 4 + 4x + (3 * 6 + x * 6) = 5(x + -1) + 2 4 + 4x + (18 + 6x) = 5(x + -1) + 2 Reorder the terms: 4 + 18 + 4x + 6x = 5(x + -1) + 2 Combine like terms: 4 + 18 = 22 22 + 4x + 6x = 5(x + -1) + 2 Combine like terms: 4x + 6x = 10x 22 + 10x = 5(x + -1) + 2 Reorder the terms: 22 + 10x = 5(-1 + x) + 2 22 + 10x = (-1 * 5 + x * 5) + 2 22 + 10x = (-5 + 5x) + 2 Reorder the terms: 22 + 10x = -5 + 2 + 5x Combine like terms: -5 + 2 = -3 22 + 10x = -3 + 5x Solving 22 + 10x = -3 + 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. 22 + 10x + -5x = -3 + 5x + -5x Combine like terms: 10x + -5x = 5x 22 + 5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + 5x = -3 + 0 22 + 5x = -3 Add '-22' to each side of the equation. 22 + -22 + 5x = -3 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = -3 + -22 5x = -3 + -22 Combine like terms: -3 + -22 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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