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Simplifying -5(4x + -3) + 21(x + -5) = -88 + -4 Reorder the terms: -5(-3 + 4x) + 21(x + -5) = -88 + -4 (-3 * -5 + 4x * -5) + 21(x + -5) = -88 + -4 (15 + -20x) + 21(x + -5) = -88 + -4 Reorder the terms: 15 + -20x + 21(-5 + x) = -88 + -4 15 + -20x + (-5 * 21 + x * 21) = -88 + -4 15 + -20x + (-105 + 21x) = -88 + -4 Reorder the terms: 15 + -105 + -20x + 21x = -88 + -4 Combine like terms: 15 + -105 = -90 -90 + -20x + 21x = -88 + -4 Combine like terms: -20x + 21x = 1x -90 + 1x = -88 + -4 Combine like terms: -88 + -4 = -92 -90 + 1x = -92 Solving -90 + 1x = -92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 1x = -92 + 90 Combine like terms: -90 + 90 = 0 0 + 1x = -92 + 90 1x = -92 + 90 Combine like terms: -92 + 90 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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