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Simplifying 7(2x + 4) = 8(1 + 3x) Reorder the terms: 7(4 + 2x) = 8(1 + 3x) (4 * 7 + 2x * 7) = 8(1 + 3x) (28 + 14x) = 8(1 + 3x) 28 + 14x = (1 * 8 + 3x * 8) 28 + 14x = (8 + 24x) Solving 28 + 14x = 8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 28 + 14x + -24x = 8 + 24x + -24x Combine like terms: 14x + -24x = -10x 28 + -10x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -10x = 8 + 0 28 + -10x = 8 Add '-28' to each side of the equation. 28 + -28 + -10x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = 8 + -28 -10x = 8 + -28 Combine like terms: 8 + -28 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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