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Simplifying 3(x + -6) + -1(9x + -6) = -7x Reorder the terms: 3(-6 + x) + -1(9x + -6) = -7x (-6 * 3 + x * 3) + -1(9x + -6) = -7x (-18 + 3x) + -1(9x + -6) = -7x Reorder the terms: -18 + 3x + -1(-6 + 9x) = -7x -18 + 3x + (-6 * -1 + 9x * -1) = -7x -18 + 3x + (6 + -9x) = -7x Reorder the terms: -18 + 6 + 3x + -9x = -7x Combine like terms: -18 + 6 = -12 -12 + 3x + -9x = -7x Combine like terms: 3x + -9x = -6x -12 + -6x = -7x Solving -12 + -6x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + -6x + 7x = -7x + 7x Combine like terms: -6x + 7x = 1x -12 + 1x = -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 1x = 0 Add '12' to each side of the equation. -12 + 12 + 1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 0 + 12 1x = 0 + 12 Combine like terms: 0 + 12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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