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Simplifying 4 + -6x = 9x + -10x + -31 Reorder the terms: 4 + -6x = -31 + 9x + -10x Combine like terms: 9x + -10x = -1x 4 + -6x = -31 + -1x Solving 4 + -6x = -31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -6x + x = -31 + -1x + x Combine like terms: -6x + x = -5x 4 + -5x = -31 + -1x + x Combine like terms: -1x + x = 0 4 + -5x = -31 + 0 4 + -5x = -31 Add '-4' to each side of the equation. 4 + -4 + -5x = -31 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -31 + -4 -5x = -31 + -4 Combine like terms: -31 + -4 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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