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Simplifying 8 + 5(7 + -6x) = 3 + -10x 8 + (7 * 5 + -6x * 5) = 3 + -10x 8 + (35 + -30x) = 3 + -10x Combine like terms: 8 + 35 = 43 43 + -30x = 3 + -10x Solving 43 + -30x = 3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 43 + -30x + 10x = 3 + -10x + 10x Combine like terms: -30x + 10x = -20x 43 + -20x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 43 + -20x = 3 + 0 43 + -20x = 3 Add '-43' to each side of the equation. 43 + -43 + -20x = 3 + -43 Combine like terms: 43 + -43 = 0 0 + -20x = 3 + -43 -20x = 3 + -43 Combine like terms: 3 + -43 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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