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Simplifying 6(x + -2) = 3(3x + 1) Reorder the terms: 6(-2 + x) = 3(3x + 1) (-2 * 6 + x * 6) = 3(3x + 1) (-12 + 6x) = 3(3x + 1) Reorder the terms: -12 + 6x = 3(1 + 3x) -12 + 6x = (1 * 3 + 3x * 3) -12 + 6x = (3 + 9x) Solving -12 + 6x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 6x + -9x = 3 + 9x + -9x Combine like terms: 6x + -9x = -3x -12 + -3x = 3 + 9x + -9x Combine like terms: 9x + -9x = 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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