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Simplifying 6(7x + -2) + -7(x + -5) = -47 Reorder the terms: 6(-2 + 7x) + -7(x + -5) = -47 (-2 * 6 + 7x * 6) + -7(x + -5) = -47 (-12 + 42x) + -7(x + -5) = -47 Reorder the terms: -12 + 42x + -7(-5 + x) = -47 -12 + 42x + (-5 * -7 + x * -7) = -47 -12 + 42x + (35 + -7x) = -47 Reorder the terms: -12 + 35 + 42x + -7x = -47 Combine like terms: -12 + 35 = 23 23 + 42x + -7x = -47 Combine like terms: 42x + -7x = 35x 23 + 35x = -47 Solving 23 + 35x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 35x = -47 + -23 Combine like terms: 23 + -23 = 0 0 + 35x = -47 + -23 35x = -47 + -23 Combine like terms: -47 + -23 = -70 35x = -70 Divide each side by '35'. x = -2 Simplifying x = -2
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