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Simplifying 3(3x + -9) * 2 = 1 + 2(2x + -9) Reorder the terms: 3(-9 + 3x) * 2 = 1 + 2(2x + -9) Reorder the terms for easier multiplication: 3 * 2(-9 + 3x) = 1 + 2(2x + -9) Multiply 3 * 2 6(-9 + 3x) = 1 + 2(2x + -9) (-9 * 6 + 3x * 6) = 1 + 2(2x + -9) (-54 + 18x) = 1 + 2(2x + -9) Reorder the terms: -54 + 18x = 1 + 2(-9 + 2x) -54 + 18x = 1 + (-9 * 2 + 2x * 2) -54 + 18x = 1 + (-18 + 4x) Combine like terms: 1 + -18 = -17 -54 + 18x = -17 + 4x Solving -54 + 18x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -54 + 18x + -4x = -17 + 4x + -4x Combine like terms: 18x + -4x = 14x -54 + 14x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + 14x = -17 + 0 -54 + 14x = -17 Add '54' to each side of the equation. -54 + 54 + 14x = -17 + 54 Combine like terms: -54 + 54 = 0 0 + 14x = -17 + 54 14x = -17 + 54 Combine like terms: -17 + 54 = 37 14x = 37 Divide each side by '14'. x = 2.642857143 Simplifying x = 2.642857143
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