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Simplifying 4(5x + 1) + 3(1 + -7x) = x Reorder the terms: 4(1 + 5x) + 3(1 + -7x) = x (1 * 4 + 5x * 4) + 3(1 + -7x) = x (4 + 20x) + 3(1 + -7x) = x 4 + 20x + (1 * 3 + -7x * 3) = x 4 + 20x + (3 + -21x) = x Reorder the terms: 4 + 3 + 20x + -21x = x Combine like terms: 4 + 3 = 7 7 + 20x + -21x = x Combine like terms: 20x + -21x = -1x 7 + -1x = x Solving 7 + -1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -1x + -1x = x + -1x Combine like terms: -1x + -1x = -2x 7 + -2x = x + -1x Combine like terms: x + -1x = 0 7 + -2x = 0 Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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