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Simplifying 3(x + 5) = 5(11 + -1x) Reorder the terms: 3(5 + x) = 5(11 + -1x) (5 * 3 + x * 3) = 5(11 + -1x) (15 + 3x) = 5(11 + -1x) 15 + 3x = (11 * 5 + -1x * 5) 15 + 3x = (55 + -5x) Solving 15 + 3x = 55 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + 3x + 5x = 55 + -5x + 5x Combine like terms: 3x + 5x = 8x 15 + 8x = 55 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 8x = 55 + 0 15 + 8x = 55 Add '-15' to each side of the equation. 15 + -15 + 8x = 55 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 55 + -15 8x = 55 + -15 Combine like terms: 55 + -15 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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