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Simplifying 6(2x + -9) = 7(2x + 1) Reorder the terms: 6(-9 + 2x) = 7(2x + 1) (-9 * 6 + 2x * 6) = 7(2x + 1) (-54 + 12x) = 7(2x + 1) Reorder the terms: -54 + 12x = 7(1 + 2x) -54 + 12x = (1 * 7 + 2x * 7) -54 + 12x = (7 + 14x) Solving -54 + 12x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -54 + 12x + -14x = 7 + 14x + -14x Combine like terms: 12x + -14x = -2x -54 + -2x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -54 + -2x = 7 + 0 -54 + -2x = 7 Add '54' to each side of the equation. -54 + 54 + -2x = 7 + 54 Combine like terms: -54 + 54 = 0 0 + -2x = 7 + 54 -2x = 7 + 54 Combine like terms: 7 + 54 = 61 -2x = 61 Divide each side by '-2'. x = -30.5 Simplifying x = -30.5
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