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Simplifying 4(x + 3) + -9(x + 2) = x + -24 Reorder the terms: 4(3 + x) + -9(x + 2) = x + -24 (3 * 4 + x * 4) + -9(x + 2) = x + -24 (12 + 4x) + -9(x + 2) = x + -24 Reorder the terms: 12 + 4x + -9(2 + x) = x + -24 12 + 4x + (2 * -9 + x * -9) = x + -24 12 + 4x + (-18 + -9x) = x + -24 Reorder the terms: 12 + -18 + 4x + -9x = x + -24 Combine like terms: 12 + -18 = -6 -6 + 4x + -9x = x + -24 Combine like terms: 4x + -9x = -5x -6 + -5x = x + -24 Reorder the terms: -6 + -5x = -24 + x Solving -6 + -5x = -24 + x 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. -6 + -5x + -1x = -24 + x + -1x Combine like terms: -5x + -1x = -6x -6 + -6x = -24 + x + -1x Combine like terms: x + -1x = 0 -6 + -6x = -24 + 0 -6 + -6x = -24 Add '6' to each side of the equation. -6 + 6 + -6x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -24 + 6 -6x = -24 + 6 Combine like terms: -24 + 6 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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