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Simplifying 5x + 7(x + 4) = 4(6x + 2) Reorder the terms: 5x + 7(4 + x) = 4(6x + 2) 5x + (4 * 7 + x * 7) = 4(6x + 2) 5x + (28 + 7x) = 4(6x + 2) Reorder the terms: 28 + 5x + 7x = 4(6x + 2) Combine like terms: 5x + 7x = 12x 28 + 12x = 4(6x + 2) Reorder the terms: 28 + 12x = 4(2 + 6x) 28 + 12x = (2 * 4 + 6x * 4) 28 + 12x = (8 + 24x) Solving 28 + 12x = 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 + 12x + -24x = 8 + 24x + -24x Combine like terms: 12x + -24x = -12x 28 + -12x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -12x = 8 + 0 28 + -12x = 8 Add '-28' to each side of the equation. 28 + -28 + -12x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = 8 + -28 -12x = 8 + -28 Combine like terms: 8 + -28 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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