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Simplifying 6(1 + -4x) = 40 + -7x (1 * 6 + -4x * 6) = 40 + -7x (6 + -24x) = 40 + -7x Solving 6 + -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. 6 + -24x + 7x = 40 + -7x + 7x Combine like terms: -24x + 7x = -17x 6 + -17x = 40 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + -17x = 40 + 0 6 + -17x = 40 Add '-6' to each side of the equation. 6 + -6 + -17x = 40 + -6 Combine like terms: 6 + -6 = 0 0 + -17x = 40 + -6 -17x = 40 + -6 Combine like terms: 40 + -6 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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