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Simplifying 5(1 + -7x) + -2(8 + 6x) = -11 (1 * 5 + -7x * 5) + -2(8 + 6x) = -11 (5 + -35x) + -2(8 + 6x) = -11 5 + -35x + (8 * -2 + 6x * -2) = -11 5 + -35x + (-16 + -12x) = -11 Reorder the terms: 5 + -16 + -35x + -12x = -11 Combine like terms: 5 + -16 = -11 -11 + -35x + -12x = -11 Combine like terms: -35x + -12x = -47x -11 + -47x = -11 Add '11' to each side of the equation. -11 + 11 + -47x = -11 + 11 Combine like terms: -11 + 11 = 0 0 + -47x = -11 + 11 -47x = -11 + 11 Combine like terms: -11 + 11 = 0 -47x = 0 Solving -47x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-47'. x = 0 Simplifying x = 0
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