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Simplifying 5x + -6(x + 2) = 6 + -3x Reorder the terms: 5x + -6(2 + x) = 6 + -3x 5x + (2 * -6 + x * -6) = 6 + -3x 5x + (-12 + -6x) = 6 + -3x Reorder the terms: -12 + 5x + -6x = 6 + -3x Combine like terms: 5x + -6x = -1x -12 + -1x = 6 + -3x Solving -12 + -1x = 6 + -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 + -1x + 3x = 6 + -3x + 3x Combine like terms: -1x + 3x = 2x -12 + 2x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 2x = 6 + 0 -12 + 2x = 6 Add '12' to each side of the equation. -12 + 12 + 2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 6 + 12 2x = 6 + 12 Combine like terms: 6 + 12 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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