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Simplifying 6(x + -2) + 3(x + 2) = 3x + -3 Reorder the terms: 6(-2 + x) + 3(x + 2) = 3x + -3 (-2 * 6 + x * 6) + 3(x + 2) = 3x + -3 (-12 + 6x) + 3(x + 2) = 3x + -3 Reorder the terms: -12 + 6x + 3(2 + x) = 3x + -3 -12 + 6x + (2 * 3 + x * 3) = 3x + -3 -12 + 6x + (6 + 3x) = 3x + -3 Reorder the terms: -12 + 6 + 6x + 3x = 3x + -3 Combine like terms: -12 + 6 = -6 -6 + 6x + 3x = 3x + -3 Combine like terms: 6x + 3x = 9x -6 + 9x = 3x + -3 Reorder the terms: -6 + 9x = -3 + 3x Solving -6 + 9x = -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. -6 + 9x + -3x = -3 + 3x + -3x Combine like terms: 9x + -3x = 6x -6 + 6x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 6x = -3 + 0 -6 + 6x = -3 Add '6' to each side of the equation. -6 + 6 + 6x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -3 + 6 6x = -3 + 6 Combine like terms: -3 + 6 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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