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Simplifying 3(x + -6) + 6 = 3x + -6(6 + -1x) Reorder the terms: 3(-6 + x) + 6 = 3x + -6(6 + -1x) (-6 * 3 + x * 3) + 6 = 3x + -6(6 + -1x) (-18 + 3x) + 6 = 3x + -6(6 + -1x) Reorder the terms: -18 + 6 + 3x = 3x + -6(6 + -1x) Combine like terms: -18 + 6 = -12 -12 + 3x = 3x + -6(6 + -1x) -12 + 3x = 3x + (6 * -6 + -1x * -6) -12 + 3x = 3x + (-36 + 6x) Reorder the terms: -12 + 3x = -36 + 3x + 6x Combine like terms: 3x + 6x = 9x -12 + 3x = -36 + 9x Solving -12 + 3x = -36 + 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 + 3x + -9x = -36 + 9x + -9x Combine like terms: 3x + -9x = -6x -12 + -6x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -6x = -36 + 0 -12 + -6x = -36 Add '12' to each side of the equation. -12 + 12 + -6x = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -36 + 12 -6x = -36 + 12 Combine like terms: -36 + 12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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