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Simplifying 7(6x + 9) = 24x + -8 Reorder the terms: 7(9 + 6x) = 24x + -8 (9 * 7 + 6x * 7) = 24x + -8 (63 + 42x) = 24x + -8 Reorder the terms: 63 + 42x = -8 + 24x Solving 63 + 42x = -8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 63 + 42x + -24x = -8 + 24x + -24x Combine like terms: 42x + -24x = 18x 63 + 18x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 63 + 18x = -8 + 0 63 + 18x = -8 Add '-63' to each side of the equation. 63 + -63 + 18x = -8 + -63 Combine like terms: 63 + -63 = 0 0 + 18x = -8 + -63 18x = -8 + -63 Combine like terms: -8 + -63 = -71 18x = -71 Divide each side by '18'. x = -3.944444444 Simplifying x = -3.944444444
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