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Simplifying 3 + -5(x + 2) = 3(x + 1) + 6 Reorder the terms: 3 + -5(2 + x) = 3(x + 1) + 6 3 + (2 * -5 + x * -5) = 3(x + 1) + 6 3 + (-10 + -5x) = 3(x + 1) + 6 Combine like terms: 3 + -10 = -7 -7 + -5x = 3(x + 1) + 6 Reorder the terms: -7 + -5x = 3(1 + x) + 6 -7 + -5x = (1 * 3 + x * 3) + 6 -7 + -5x = (3 + 3x) + 6 Reorder the terms: -7 + -5x = 3 + 6 + 3x Combine like terms: 3 + 6 = 9 -7 + -5x = 9 + 3x Solving -7 + -5x = 9 + 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. -7 + -5x + -3x = 9 + 3x + -3x Combine like terms: -5x + -3x = -8x -7 + -8x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -8x = 9 + 0 -7 + -8x = 9 Add '7' to each side of the equation. -7 + 7 + -8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 9 + 7 -8x = 9 + 7 Combine like terms: 9 + 7 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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