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Simplifying 4(7x + 1) = 3(2x + 1) + 4(x + 6) Reorder the terms: 4(1 + 7x) = 3(2x + 1) + 4(x + 6) (1 * 4 + 7x * 4) = 3(2x + 1) + 4(x + 6) (4 + 28x) = 3(2x + 1) + 4(x + 6) Reorder the terms: 4 + 28x = 3(1 + 2x) + 4(x + 6) 4 + 28x = (1 * 3 + 2x * 3) + 4(x + 6) 4 + 28x = (3 + 6x) + 4(x + 6) Reorder the terms: 4 + 28x = 3 + 6x + 4(6 + x) 4 + 28x = 3 + 6x + (6 * 4 + x * 4) 4 + 28x = 3 + 6x + (24 + 4x) Reorder the terms: 4 + 28x = 3 + 24 + 6x + 4x Combine like terms: 3 + 24 = 27 4 + 28x = 27 + 6x + 4x Combine like terms: 6x + 4x = 10x 4 + 28x = 27 + 10x Solving 4 + 28x = 27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 28x + -10x = 27 + 10x + -10x Combine like terms: 28x + -10x = 18x 4 + 18x = 27 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + 18x = 27 + 0 4 + 18x = 27 Add '-4' to each side of the equation. 4 + -4 + 18x = 27 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = 27 + -4 18x = 27 + -4 Combine like terms: 27 + -4 = 23 18x = 23 Divide each side by '18'. x = 1.277777778 Simplifying x = 1.277777778
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