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Simplifying 10 + -3x = 9x + -8x + 50 Reorder the terms: 10 + -3x = 50 + 9x + -8x Combine like terms: 9x + -8x = 1x 10 + -3x = 50 + 1x Solving 10 + -3x = 50 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -3x + -1x = 50 + 1x + -1x Combine like terms: -3x + -1x = -4x 10 + -4x = 50 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -4x = 50 + 0 10 + -4x = 50 Add '-10' to each side of the equation. 10 + -10 + -4x = 50 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 50 + -10 -4x = 50 + -10 Combine like terms: 50 + -10 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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