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Simplifying 19 + -1(x + 9) = 5x + -2 Reorder the terms: 19 + -1(9 + x) = 5x + -2 19 + (9 * -1 + x * -1) = 5x + -2 19 + (-9 + -1x) = 5x + -2 Combine like terms: 19 + -9 = 10 10 + -1x = 5x + -2 Reorder the terms: 10 + -1x = -2 + 5x Solving 10 + -1x = -2 + 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. 10 + -1x + -5x = -2 + 5x + -5x Combine like terms: -1x + -5x = -6x 10 + -6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -6x = -2 + 0 10 + -6x = -2 Add '-10' to each side of the equation. 10 + -10 + -6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -2 + -10 -6x = -2 + -10 Combine like terms: -2 + -10 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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