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Simplifying 4(5x + 2) + -7(3x + 5) = x + -31 Reorder the terms: 4(2 + 5x) + -7(3x + 5) = x + -31 (2 * 4 + 5x * 4) + -7(3x + 5) = x + -31 (8 + 20x) + -7(3x + 5) = x + -31 Reorder the terms: 8 + 20x + -7(5 + 3x) = x + -31 8 + 20x + (5 * -7 + 3x * -7) = x + -31 8 + 20x + (-35 + -21x) = x + -31 Reorder the terms: 8 + -35 + 20x + -21x = x + -31 Combine like terms: 8 + -35 = -27 -27 + 20x + -21x = x + -31 Combine like terms: 20x + -21x = -1x -27 + -1x = x + -31 Reorder the terms: -27 + -1x = -31 + x Solving -27 + -1x = -31 + 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. -27 + -1x + -1x = -31 + x + -1x Combine like terms: -1x + -1x = -2x -27 + -2x = -31 + x + -1x Combine like terms: x + -1x = 0 -27 + -2x = -31 + 0 -27 + -2x = -31 Add '27' to each side of the equation. -27 + 27 + -2x = -31 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -31 + 27 -2x = -31 + 27 Combine like terms: -31 + 27 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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