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Simplifying 2x + -6x + 12 = 18x + -6x + -9 Reorder the terms: 12 + 2x + -6x = 18x + -6x + -9 Combine like terms: 2x + -6x = -4x 12 + -4x = 18x + -6x + -9 Reorder the terms: 12 + -4x = -9 + 18x + -6x Combine like terms: 18x + -6x = 12x 12 + -4x = -9 + 12x Solving 12 + -4x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -4x + -12x = -9 + 12x + -12x Combine like terms: -4x + -12x = -16x 12 + -16x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -16x = -9 + 0 12 + -16x = -9 Add '-12' to each side of the equation. 12 + -12 + -16x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = -9 + -12 -16x = -9 + -12 Combine like terms: -9 + -12 = -21 -16x = -21 Divide each side by '-16'. x = 1.3125 Simplifying x = 1.3125
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