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Simplifying 24 + 9x = 66 + -2(5 + 3x) + 7x 24 + 9x = 66 + (5 * -2 + 3x * -2) + 7x 24 + 9x = 66 + (-10 + -6x) + 7x Combine like terms: 66 + -10 = 56 24 + 9x = 56 + -6x + 7x Combine like terms: -6x + 7x = 1x 24 + 9x = 56 + 1x Solving 24 + 9x = 56 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 9x + -1x = 56 + 1x + -1x Combine like terms: 9x + -1x = 8x 24 + 8x = 56 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + 8x = 56 + 0 24 + 8x = 56 Add '-24' to each side of the equation. 24 + -24 + 8x = 56 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 56 + -24 8x = 56 + -24 Combine like terms: 56 + -24 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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