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Simplifying 6(4 + 3x) = 7(x + -1) + 1 (4 * 6 + 3x * 6) = 7(x + -1) + 1 (24 + 18x) = 7(x + -1) + 1 Reorder the terms: 24 + 18x = 7(-1 + x) + 1 24 + 18x = (-1 * 7 + x * 7) + 1 24 + 18x = (-7 + 7x) + 1 Reorder the terms: 24 + 18x = -7 + 1 + 7x Combine like terms: -7 + 1 = -6 24 + 18x = -6 + 7x Solving 24 + 18x = -6 + 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. 24 + 18x + -7x = -6 + 7x + -7x Combine like terms: 18x + -7x = 11x 24 + 11x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 11x = -6 + 0 24 + 11x = -6 Add '-24' to each side of the equation. 24 + -24 + 11x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = -6 + -24 11x = -6 + -24 Combine like terms: -6 + -24 = -30 11x = -30 Divide each side by '11'. x = -2.727272727 Simplifying x = -2.727272727
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