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Simplifying -6x + 18 = 7(4x + 9) Reorder the terms: 18 + -6x = 7(4x + 9) Reorder the terms: 18 + -6x = 7(9 + 4x) 18 + -6x = (9 * 7 + 4x * 7) 18 + -6x = (63 + 28x) Solving 18 + -6x = 63 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 18 + -6x + -28x = 63 + 28x + -28x Combine like terms: -6x + -28x = -34x 18 + -34x = 63 + 28x + -28x Combine like terms: 28x + -28x = 0 18 + -34x = 63 + 0 18 + -34x = 63 Add '-18' to each side of the equation. 18 + -18 + -34x = 63 + -18 Combine like terms: 18 + -18 = 0 0 + -34x = 63 + -18 -34x = 63 + -18 Combine like terms: 63 + -18 = 45 -34x = 45 Divide each side by '-34'. x = -1.323529412 Simplifying x = -1.323529412
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