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Simplifying 5x + 6 + 2(x + 1) = -3x + 5 Reorder the terms: 5x + 6 + 2(1 + x) = -3x + 5 5x + 6 + (1 * 2 + x * 2) = -3x + 5 5x + 6 + (2 + 2x) = -3x + 5 Reorder the terms: 6 + 2 + 5x + 2x = -3x + 5 Combine like terms: 6 + 2 = 8 8 + 5x + 2x = -3x + 5 Combine like terms: 5x + 2x = 7x 8 + 7x = -3x + 5 Reorder the terms: 8 + 7x = 5 + -3x Solving 8 + 7x = 5 + -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. 8 + 7x + 3x = 5 + -3x + 3x Combine like terms: 7x + 3x = 10x 8 + 10x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 10x = 5 + 0 8 + 10x = 5 Add '-8' to each side of the equation. 8 + -8 + 10x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 5 + -8 10x = 5 + -8 Combine like terms: 5 + -8 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3
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