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Simplifying 8 + -1(2x + 10) = 19 + -5x Reorder the terms: 8 + -1(10 + 2x) = 19 + -5x 8 + (10 * -1 + 2x * -1) = 19 + -5x 8 + (-10 + -2x) = 19 + -5x Combine like terms: 8 + -10 = -2 -2 + -2x = 19 + -5x Solving -2 + -2x = 19 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + -2x + 5x = 19 + -5x + 5x Combine like terms: -2x + 5x = 3x -2 + 3x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 3x = 19 + 0 -2 + 3x = 19 Add '2' to each side of the equation. -2 + 2 + 3x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 19 + 2 3x = 19 + 2 Combine like terms: 19 + 2 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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