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Simplifying 42 + -3(5 + -2x) = (x + 8) + 19 42 + (5 * -3 + -2x * -3) = (x + 8) + 19 42 + (-15 + 6x) = (x + 8) + 19 Combine like terms: 42 + -15 = 27 27 + 6x = (x + 8) + 19 Reorder the terms: 27 + 6x = (8 + x) + 19 Remove parenthesis around (8 + x) 27 + 6x = 8 + x + 19 Reorder the terms: 27 + 6x = 8 + 19 + x Combine like terms: 8 + 19 = 27 27 + 6x = 27 + x Add '-27' to each side of the equation. 27 + -27 + 6x = 27 + -27 + x Combine like terms: 27 + -27 = 0 0 + 6x = 27 + -27 + x 6x = 27 + -27 + x Combine like terms: 27 + -27 = 0 6x = 0 + x 6x = x Solving 6x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6x + -1x = x + -1x Combine like terms: 6x + -1x = 5x 5x = x + -1x Combine like terms: x + -1x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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