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Simplifying -7(6x + 7) = -2x + -31 Reorder the terms: -7(7 + 6x) = -2x + -31 (7 * -7 + 6x * -7) = -2x + -31 (-49 + -42x) = -2x + -31 Reorder the terms: -49 + -42x = -31 + -2x Solving -49 + -42x = -31 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -49 + -42x + 2x = -31 + -2x + 2x Combine like terms: -42x + 2x = -40x -49 + -40x = -31 + -2x + 2x Combine like terms: -2x + 2x = 0 -49 + -40x = -31 + 0 -49 + -40x = -31 Add '49' to each side of the equation. -49 + 49 + -40x = -31 + 49 Combine like terms: -49 + 49 = 0 0 + -40x = -31 + 49 -40x = -31 + 49 Combine like terms: -31 + 49 = 18 -40x = 18 Divide each side by '-40'. x = -0.45 Simplifying x = -0.45
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