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Simplifying 6(x + -2) = 3(x + 1) Reorder the terms: 6(-2 + x) = 3(x + 1) (-2 * 6 + x * 6) = 3(x + 1) (-12 + 6x) = 3(x + 1) Reorder the terms: -12 + 6x = 3(1 + x) -12 + 6x = (1 * 3 + x * 3) -12 + 6x = (3 + 3x) Solving -12 + 6x = 3 + 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. -12 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = 3 + 0 -12 + 3x = 3 Add '12' to each side of the equation. -12 + 12 + 3x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 3 + 12 3x = 3 + 12 Combine like terms: 3 + 12 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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