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Simplifying 7x + -12 = 9(2x + -3) Reorder the terms: -12 + 7x = 9(2x + -3) Reorder the terms: -12 + 7x = 9(-3 + 2x) -12 + 7x = (-3 * 9 + 2x * 9) -12 + 7x = (-27 + 18x) Solving -12 + 7x = -27 + 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 + 7x + -18x = -27 + 18x + -18x Combine like terms: 7x + -18x = -11x -12 + -11x = -27 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -11x = -27 + 0 -12 + -11x = -27 Add '12' to each side of the equation. -12 + 12 + -11x = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = -27 + 12 -11x = -27 + 12 Combine like terms: -27 + 12 = -15 -11x = -15 Divide each side by '-11'. x = 1.363636364 Simplifying x = 1.363636364
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