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Simplifying 3(3x + 3) = 4(4x + -5) Reorder the terms: 3(3 + 3x) = 4(4x + -5) (3 * 3 + 3x * 3) = 4(4x + -5) (9 + 9x) = 4(4x + -5) Reorder the terms: 9 + 9x = 4(-5 + 4x) 9 + 9x = (-5 * 4 + 4x * 4) 9 + 9x = (-20 + 16x) Solving 9 + 9x = -20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 9 + 9x + -16x = -20 + 16x + -16x Combine like terms: 9x + -16x = -7x 9 + -7x = -20 + 16x + -16x Combine like terms: 16x + -16x = 0 9 + -7x = -20 + 0 9 + -7x = -20 Add '-9' to each side of the equation. 9 + -9 + -7x = -20 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -20 + -9 -7x = -20 + -9 Combine like terms: -20 + -9 = -29 -7x = -29 Divide each side by '-7'. x = 4.142857143 Simplifying x = 4.142857143
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