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Simplifying 3(2x + -2) + -4(x + 6) = 3x + 8 + c Reorder the terms: 3(-2 + 2x) + -4(x + 6) = 3x + 8 + c (-2 * 3 + 2x * 3) + -4(x + 6) = 3x + 8 + c (-6 + 6x) + -4(x + 6) = 3x + 8 + c Reorder the terms: -6 + 6x + -4(6 + x) = 3x + 8 + c -6 + 6x + (6 * -4 + x * -4) = 3x + 8 + c -6 + 6x + (-24 + -4x) = 3x + 8 + c Reorder the terms: -6 + -24 + 6x + -4x = 3x + 8 + c Combine like terms: -6 + -24 = -30 -30 + 6x + -4x = 3x + 8 + c Combine like terms: 6x + -4x = 2x -30 + 2x = 3x + 8 + c Reorder the terms: -30 + 2x = 8 + c + 3x Solving -30 + 2x = 8 + c + 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. -30 + 2x + -3x = 8 + c + 3x + -3x Combine like terms: 2x + -3x = -1x -30 + -1x = 8 + c + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + -1x = 8 + c + 0 -30 + -1x = 8 + c Add '30' to each side of the equation. -30 + 30 + -1x = 8 + 30 + c Combine like terms: -30 + 30 = 0 0 + -1x = 8 + 30 + c -1x = 8 + 30 + c Combine like terms: 8 + 30 = 38 -1x = 38 + c Divide each side by '-1'. x = -38 + -1c Simplifying x = -38 + -1c
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