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Simplifying 8 + 5(7 + -6x) = 13 + -15x 8 + (7 * 5 + -6x * 5) = 13 + -15x 8 + (35 + -30x) = 13 + -15x Combine like terms: 8 + 35 = 43 43 + -30x = 13 + -15x Solving 43 + -30x = 13 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 43 + -30x + 15x = 13 + -15x + 15x Combine like terms: -30x + 15x = -15x 43 + -15x = 13 + -15x + 15x Combine like terms: -15x + 15x = 0 43 + -15x = 13 + 0 43 + -15x = 13 Add '-43' to each side of the equation. 43 + -43 + -15x = 13 + -43 Combine like terms: 43 + -43 = 0 0 + -15x = 13 + -43 -15x = 13 + -43 Combine like terms: 13 + -43 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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