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Simplifying 12 + -7x + 11x = -2(-9x + 8) Combine like terms: -7x + 11x = 4x 12 + 4x = -2(-9x + 8) Reorder the terms: 12 + 4x = -2(8 + -9x) 12 + 4x = (8 * -2 + -9x * -2) 12 + 4x = (-16 + 18x) Solving 12 + 4x = -16 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 12 + 4x + -18x = -16 + 18x + -18x Combine like terms: 4x + -18x = -14x 12 + -14x = -16 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + -14x = -16 + 0 12 + -14x = -16 Add '-12' to each side of the equation. 12 + -12 + -14x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -16 + -12 -14x = -16 + -12 Combine like terms: -16 + -12 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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