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Simplifying -19x + 32 = 85 + -4(5x + -8) Reorder the terms: 32 + -19x = 85 + -4(5x + -8) Reorder the terms: 32 + -19x = 85 + -4(-8 + 5x) 32 + -19x = 85 + (-8 * -4 + 5x * -4) 32 + -19x = 85 + (32 + -20x) Combine like terms: 85 + 32 = 117 32 + -19x = 117 + -20x Solving 32 + -19x = 117 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 32 + -19x + 20x = 117 + -20x + 20x Combine like terms: -19x + 20x = 1x 32 + 1x = 117 + -20x + 20x Combine like terms: -20x + 20x = 0 32 + 1x = 117 + 0 32 + 1x = 117 Add '-32' to each side of the equation. 32 + -32 + 1x = 117 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 117 + -32 1x = 117 + -32 Combine like terms: 117 + -32 = 85 1x = 85 Divide each side by '1'. x = 85 Simplifying x = 85
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