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Simplifying 4(3x + -11) = 5(29 + -3x) Reorder the terms: 4(-11 + 3x) = 5(29 + -3x) (-11 * 4 + 3x * 4) = 5(29 + -3x) (-44 + 12x) = 5(29 + -3x) -44 + 12x = (29 * 5 + -3x * 5) -44 + 12x = (145 + -15x) Solving -44 + 12x = 145 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -44 + 12x + 15x = 145 + -15x + 15x Combine like terms: 12x + 15x = 27x -44 + 27x = 145 + -15x + 15x Combine like terms: -15x + 15x = 0 -44 + 27x = 145 + 0 -44 + 27x = 145 Add '44' to each side of the equation. -44 + 44 + 27x = 145 + 44 Combine like terms: -44 + 44 = 0 0 + 27x = 145 + 44 27x = 145 + 44 Combine like terms: 145 + 44 = 189 27x = 189 Divide each side by '27'. x = 7 Simplifying x = 7
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