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Simplifying 10x + 4(1 + 3x) = 5(x + 11) 10x + (1 * 4 + 3x * 4) = 5(x + 11) 10x + (4 + 12x) = 5(x + 11) Reorder the terms: 4 + 10x + 12x = 5(x + 11) Combine like terms: 10x + 12x = 22x 4 + 22x = 5(x + 11) Reorder the terms: 4 + 22x = 5(11 + x) 4 + 22x = (11 * 5 + x * 5) 4 + 22x = (55 + 5x) Solving 4 + 22x = 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. 4 + 22x + -5x = 55 + 5x + -5x Combine like terms: 22x + -5x = 17x 4 + 17x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 17x = 55 + 0 4 + 17x = 55 Add '-4' to each side of the equation. 4 + -4 + 17x = 55 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 55 + -4 17x = 55 + -4 Combine like terms: 55 + -4 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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