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Simplifying 4(x + 6) = 2(7x + 1) Reorder the terms: 4(6 + x) = 2(7x + 1) (6 * 4 + x * 4) = 2(7x + 1) (24 + 4x) = 2(7x + 1) Reorder the terms: 24 + 4x = 2(1 + 7x) 24 + 4x = (1 * 2 + 7x * 2) 24 + 4x = (2 + 14x) Solving 24 + 4x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + 4x + -14x = 2 + 14x + -14x Combine like terms: 4x + -14x = -10x 24 + -10x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -10x = 2 + 0 24 + -10x = 2 Add '-24' to each side of the equation. 24 + -24 + -10x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 2 + -24 -10x = 2 + -24 Combine like terms: 2 + -24 = -22 -10x = -22 Divide each side by '-10'. x = 2.2 Simplifying x = 2.2
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