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Simplifying 10x + 1 = 3(2x + 11) Reorder the terms: 1 + 10x = 3(2x + 11) Reorder the terms: 1 + 10x = 3(11 + 2x) 1 + 10x = (11 * 3 + 2x * 3) 1 + 10x = (33 + 6x) Solving 1 + 10x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 10x + -6x = 33 + 6x + -6x Combine like terms: 10x + -6x = 4x 1 + 4x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 4x = 33 + 0 1 + 4x = 33 Add '-1' to each side of the equation. 1 + -1 + 4x = 33 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 33 + -1 4x = 33 + -1 Combine like terms: 33 + -1 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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