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Simplifying 18 + 6x + -12 = (-4)(2 + -1x) + 9x Reorder the terms: 18 + -12 + 6x = (-4)(2 + -1x) + 9x Combine like terms: 18 + -12 = 6 6 + 6x = (-4)(2 + -1x) + 9x 6 + 6x = (2 * -4 + -1x * -4) + 9x 6 + 6x = (-8 + 4x) + 9x Combine like terms: 4x + 9x = 13x 6 + 6x = -8 + 13x Solving 6 + 6x = -8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 6 + 6x + -13x = -8 + 13x + -13x Combine like terms: 6x + -13x = -7x 6 + -7x = -8 + 13x + -13x Combine like terms: 13x + -13x = 0 6 + -7x = -8 + 0 6 + -7x = -8 Add '-6' to each side of the equation. 6 + -6 + -7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -8 + -6 -7x = -8 + -6 Combine like terms: -8 + -6 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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