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Simplifying 7x + -6x + -12 = 4x + 9 + -18 Reorder the terms: -12 + 7x + -6x = 4x + 9 + -18 Combine like terms: 7x + -6x = 1x -12 + 1x = 4x + 9 + -18 Reorder the terms: -12 + 1x = 9 + -18 + 4x Combine like terms: 9 + -18 = -9 -12 + 1x = -9 + 4x Solving -12 + 1x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 1x + -4x = -9 + 4x + -4x Combine like terms: 1x + -4x = -3x -12 + -3x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -3x = -9 + 0 -12 + -3x = -9 Add '12' to each side of the equation. -12 + 12 + -3x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -9 + 12 -3x = -9 + 12 Combine like terms: -9 + 12 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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