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Simplifying -24x + -31 + -8x + 40x + -9 = -5x + 8 + 15x Reorder the terms: -31 + -9 + -24x + -8x + 40x = -5x + 8 + 15x Combine like terms: -31 + -9 = -40 -40 + -24x + -8x + 40x = -5x + 8 + 15x Combine like terms: -24x + -8x = -32x -40 + -32x + 40x = -5x + 8 + 15x Combine like terms: -32x + 40x = 8x -40 + 8x = -5x + 8 + 15x Reorder the terms: -40 + 8x = 8 + -5x + 15x Combine like terms: -5x + 15x = 10x -40 + 8x = 8 + 10x Solving -40 + 8x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + 8x + -10x = 8 + 10x + -10x Combine like terms: 8x + -10x = -2x -40 + -2x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + -2x = 8 + 0 -40 + -2x = 8 Add '40' to each side of the equation. -40 + 40 + -2x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = 8 + 40 -2x = 8 + 40 Combine like terms: 8 + 40 = 48 -2x = 48 Divide each side by '-2'. x = -24 Simplifying x = -24
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