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Simplifying 24(3x + -4) + 18 = 28x + -3(2x + -14) + 8 Reorder the terms: 24(-4 + 3x) + 18 = 28x + -3(2x + -14) + 8 (-4 * 24 + 3x * 24) + 18 = 28x + -3(2x + -14) + 8 (-96 + 72x) + 18 = 28x + -3(2x + -14) + 8 Reorder the terms: -96 + 18 + 72x = 28x + -3(2x + -14) + 8 Combine like terms: -96 + 18 = -78 -78 + 72x = 28x + -3(2x + -14) + 8 Reorder the terms: -78 + 72x = 28x + -3(-14 + 2x) + 8 -78 + 72x = 28x + (-14 * -3 + 2x * -3) + 8 -78 + 72x = 28x + (42 + -6x) + 8 Reorder the terms: -78 + 72x = 42 + 8 + 28x + -6x Combine like terms: 42 + 8 = 50 -78 + 72x = 50 + 28x + -6x Combine like terms: 28x + -6x = 22x -78 + 72x = 50 + 22x Solving -78 + 72x = 50 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -78 + 72x + -22x = 50 + 22x + -22x Combine like terms: 72x + -22x = 50x -78 + 50x = 50 + 22x + -22x Combine like terms: 22x + -22x = 0 -78 + 50x = 50 + 0 -78 + 50x = 50 Add '78' to each side of the equation. -78 + 78 + 50x = 50 + 78 Combine like terms: -78 + 78 = 0 0 + 50x = 50 + 78 50x = 50 + 78 Combine like terms: 50 + 78 = 128 50x = 128 Divide each side by '50'. x = 2.56 Simplifying x = 2.56
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