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Simplifying 5(6x + -5) + -3(-3x + -11) = 20x + 16 Reorder the terms: 5(-5 + 6x) + -3(-3x + -11) = 20x + 16 (-5 * 5 + 6x * 5) + -3(-3x + -11) = 20x + 16 (-25 + 30x) + -3(-3x + -11) = 20x + 16 Reorder the terms: -25 + 30x + -3(-11 + -3x) = 20x + 16 -25 + 30x + (-11 * -3 + -3x * -3) = 20x + 16 -25 + 30x + (33 + 9x) = 20x + 16 Reorder the terms: -25 + 33 + 30x + 9x = 20x + 16 Combine like terms: -25 + 33 = 8 8 + 30x + 9x = 20x + 16 Combine like terms: 30x + 9x = 39x 8 + 39x = 20x + 16 Reorder the terms: 8 + 39x = 16 + 20x Solving 8 + 39x = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8 + 39x + -20x = 16 + 20x + -20x Combine like terms: 39x + -20x = 19x 8 + 19x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + 19x = 16 + 0 8 + 19x = 16 Add '-8' to each side of the equation. 8 + -8 + 19x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = 16 + -8 19x = 16 + -8 Combine like terms: 16 + -8 = 8 19x = 8 Divide each side by '19'. x = 0.4210526316 Simplifying x = 0.4210526316
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