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Simplifying 8x + -5(2x + -8) = 42 + -3x Reorder the terms: 8x + -5(-8 + 2x) = 42 + -3x 8x + (-8 * -5 + 2x * -5) = 42 + -3x 8x + (40 + -10x) = 42 + -3x Reorder the terms: 40 + 8x + -10x = 42 + -3x Combine like terms: 8x + -10x = -2x 40 + -2x = 42 + -3x Solving 40 + -2x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 40 + -2x + 3x = 42 + -3x + 3x Combine like terms: -2x + 3x = 1x 40 + 1x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 40 + 1x = 42 + 0 40 + 1x = 42 Add '-40' to each side of the equation. 40 + -40 + 1x = 42 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 42 + -40 1x = 42 + -40 Combine like terms: 42 + -40 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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