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Simplifying 7(2x + 5) = 3(6x + 1) Reorder the terms: 7(5 + 2x) = 3(6x + 1) (5 * 7 + 2x * 7) = 3(6x + 1) (35 + 14x) = 3(6x + 1) Reorder the terms: 35 + 14x = 3(1 + 6x) 35 + 14x = (1 * 3 + 6x * 3) 35 + 14x = (3 + 18x) Solving 35 + 14x = 3 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 35 + 14x + -18x = 3 + 18x + -18x Combine like terms: 14x + -18x = -4x 35 + -4x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 35 + -4x = 3 + 0 35 + -4x = 3 Add '-35' to each side of the equation. 35 + -35 + -4x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = 3 + -35 -4x = 3 + -35 Combine like terms: 3 + -35 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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