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Simplifying 4(2x + 7) + -3(3x + -2) = 24 Reorder the terms: 4(7 + 2x) + -3(3x + -2) = 24 (7 * 4 + 2x * 4) + -3(3x + -2) = 24 (28 + 8x) + -3(3x + -2) = 24 Reorder the terms: 28 + 8x + -3(-2 + 3x) = 24 28 + 8x + (-2 * -3 + 3x * -3) = 24 28 + 8x + (6 + -9x) = 24 Reorder the terms: 28 + 6 + 8x + -9x = 24 Combine like terms: 28 + 6 = 34 34 + 8x + -9x = 24 Combine like terms: 8x + -9x = -1x 34 + -1x = 24 Solving 34 + -1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1x = 24 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 24 + -34 -1x = 24 + -34 Combine like terms: 24 + -34 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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