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Simplifying 11 + 4(9 + -5x) = 35 + -16x 11 + (9 * 4 + -5x * 4) = 35 + -16x 11 + (36 + -20x) = 35 + -16x Combine like terms: 11 + 36 = 47 47 + -20x = 35 + -16x Solving 47 + -20x = 35 + -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. 47 + -20x + 16x = 35 + -16x + 16x Combine like terms: -20x + 16x = -4x 47 + -4x = 35 + -16x + 16x Combine like terms: -16x + 16x = 0 47 + -4x = 35 + 0 47 + -4x = 35 Add '-47' to each side of the equation. 47 + -47 + -4x = 35 + -47 Combine like terms: 47 + -47 = 0 0 + -4x = 35 + -47 -4x = 35 + -47 Combine like terms: 35 + -47 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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