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Simplifying 3(x + -2) + 5x = 9x + -24 Reorder the terms: 3(-2 + x) + 5x = 9x + -24 (-2 * 3 + x * 3) + 5x = 9x + -24 (-6 + 3x) + 5x = 9x + -24 Combine like terms: 3x + 5x = 8x -6 + 8x = 9x + -24 Reorder the terms: -6 + 8x = -24 + 9x Solving -6 + 8x = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 8x + -9x = -24 + 9x + -9x Combine like terms: 8x + -9x = -1x -6 + -1x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -1x = -24 + 0 -6 + -1x = -24 Add '6' to each side of the equation. -6 + 6 + -1x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -24 + 6 -1x = -24 + 6 Combine like terms: -24 + 6 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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