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Simplifying 8x + -2(3x + -5) = 40 + -3x Reorder the terms: 8x + -2(-5 + 3x) = 40 + -3x 8x + (-5 * -2 + 3x * -2) = 40 + -3x 8x + (10 + -6x) = 40 + -3x Reorder the terms: 10 + 8x + -6x = 40 + -3x Combine like terms: 8x + -6x = 2x 10 + 2x = 40 + -3x Solving 10 + 2x = 40 + -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. 10 + 2x + 3x = 40 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 40 + 0 10 + 5x = 40 Add '-10' to each side of the equation. 10 + -10 + 5x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 40 + -10 5x = 40 + -10 Combine like terms: 40 + -10 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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