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Simplifying 4(5x + -1) + 3(1 + -7x) = 14 Reorder the terms: 4(-1 + 5x) + 3(1 + -7x) = 14 (-1 * 4 + 5x * 4) + 3(1 + -7x) = 14 (-4 + 20x) + 3(1 + -7x) = 14 -4 + 20x + (1 * 3 + -7x * 3) = 14 -4 + 20x + (3 + -21x) = 14 Reorder the terms: -4 + 3 + 20x + -21x = 14 Combine like terms: -4 + 3 = -1 -1 + 20x + -21x = 14 Combine like terms: 20x + -21x = -1x -1 + -1x = 14 Solving -1 + -1x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 14 + 1 -1x = 14 + 1 Combine like terms: 14 + 1 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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