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Simplifying 4(6x + 7) = -40 + 7x Reorder the terms: 4(7 + 6x) = -40 + 7x (7 * 4 + 6x * 4) = -40 + 7x (28 + 24x) = -40 + 7x Solving 28 + 24x = -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. 28 + 24x + -7x = -40 + 7x + -7x Combine like terms: 24x + -7x = 17x 28 + 17x = -40 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + 17x = -40 + 0 28 + 17x = -40 Add '-28' to each side of the equation. 28 + -28 + 17x = -40 + -28 Combine like terms: 28 + -28 = 0 0 + 17x = -40 + -28 17x = -40 + -28 Combine like terms: -40 + -28 = -68 17x = -68 Divide each side by '17'. x = -4 Simplifying x = -4
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