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