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Simplifying 90 + -1(5x + 10) = 90 + -1(x + 2) Reorder the terms: 90 + -1(10 + 5x) = 90 + -1(x + 2) 90 + (10 * -1 + 5x * -1) = 90 + -1(x + 2) 90 + (-10 + -5x) = 90 + -1(x + 2) Combine like terms: 90 + -10 = 80 80 + -5x = 90 + -1(x + 2) Reorder the terms: 80 + -5x = 90 + -1(2 + x) 80 + -5x = 90 + (2 * -1 + x * -1) 80 + -5x = 90 + (-2 + -1x) Combine like terms: 90 + -2 = 88 80 + -5x = 88 + -1x Solving 80 + -5x = 88 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 80 + -5x + x = 88 + -1x + x Combine like terms: -5x + x = -4x 80 + -4x = 88 + -1x + x Combine like terms: -1x + x = 0 80 + -4x = 88 + 0 80 + -4x = 88 Add '-80' to each side of the equation. 80 + -80 + -4x = 88 + -80 Combine like terms: 80 + -80 = 0 0 + -4x = 88 + -80 -4x = 88 + -80 Combine like terms: 88 + -80 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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