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Simplifying 6x + -3(x + 1) = 5(x + 2) Reorder the terms: 6x + -3(1 + x) = 5(x + 2) 6x + (1 * -3 + x * -3) = 5(x + 2) 6x + (-3 + -3x) = 5(x + 2) Reorder the terms: -3 + 6x + -3x = 5(x + 2) Combine like terms: 6x + -3x = 3x -3 + 3x = 5(x + 2) Reorder the terms: -3 + 3x = 5(2 + x) -3 + 3x = (2 * 5 + x * 5) -3 + 3x = (10 + 5x) Solving -3 + 3x = 10 + 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. -3 + 3x + -5x = 10 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = 10 + 0 -3 + -2x = 10 Add '3' to each side of the equation. -3 + 3 + -2x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 10 + 3 -2x = 10 + 3 Combine like terms: 10 + 3 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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