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Simplifying 5x + -10 + 7 = 8x + -24 Reorder the terms: -10 + 7 + 5x = 8x + -24 Combine like terms: -10 + 7 = -3 -3 + 5x = 8x + -24 Reorder the terms: -3 + 5x = -24 + 8x Solving -3 + 5x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x = -24 + 0 -3 + -3x = -24 Add '3' to each side of the equation. -3 + 3 + -3x = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -24 + 3 -3x = -24 + 3 Combine like terms: -24 + 3 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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