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Simplifying 4(3 + -5x) = -40 + -7x (3 * 4 + -5x * 4) = -40 + -7x (12 + -20x) = -40 + -7x Solving 12 + -20x = -40 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -20x + 7x = -40 + -7x + 7x Combine like terms: -20x + 7x = -13x 12 + -13x = -40 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + -13x = -40 + 0 12 + -13x = -40 Add '-12' to each side of the equation. 12 + -12 + -13x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -40 + -12 -13x = -40 + -12 Combine like terms: -40 + -12 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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