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Simplifying 10x + 40 + -4x + -8 = 3x + -3 + 2x + -6 Reorder the terms: 40 + -8 + 10x + -4x = 3x + -3 + 2x + -6 Combine like terms: 40 + -8 = 32 32 + 10x + -4x = 3x + -3 + 2x + -6 Combine like terms: 10x + -4x = 6x 32 + 6x = 3x + -3 + 2x + -6 Reorder the terms: 32 + 6x = -3 + -6 + 3x + 2x Combine like terms: -3 + -6 = -9 32 + 6x = -9 + 3x + 2x Combine like terms: 3x + 2x = 5x 32 + 6x = -9 + 5x Solving 32 + 6x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 6x + -5x = -9 + 5x + -5x Combine like terms: 6x + -5x = 1x 32 + 1x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 1x = -9 + 0 32 + 1x = -9 Add '-32' to each side of the equation. 32 + -32 + 1x = -9 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -9 + -32 1x = -9 + -32 Combine like terms: -9 + -32 = -41 1x = -41 Divide each side by '1'. x = -41 Simplifying x = -41
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