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Simplifying 9(3x + -16) + 15 = 6x + 24 Reorder the terms: 9(-16 + 3x) + 15 = 6x + 24 (-16 * 9 + 3x * 9) + 15 = 6x + 24 (-144 + 27x) + 15 = 6x + 24 Reorder the terms: -144 + 15 + 27x = 6x + 24 Combine like terms: -144 + 15 = -129 -129 + 27x = 6x + 24 Reorder the terms: -129 + 27x = 24 + 6x Solving -129 + 27x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -129 + 27x + -6x = 24 + 6x + -6x Combine like terms: 27x + -6x = 21x -129 + 21x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -129 + 21x = 24 + 0 -129 + 21x = 24 Add '129' to each side of the equation. -129 + 129 + 21x = 24 + 129 Combine like terms: -129 + 129 = 0 0 + 21x = 24 + 129 21x = 24 + 129 Combine like terms: 24 + 129 = 153 21x = 153 Divide each side by '21'. x = 7.285714286 Simplifying x = 7.285714286
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