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Simplifying 4x + -5x + -10 = 6 + 3x + -9 Reorder the terms: -10 + 4x + -5x = 6 + 3x + -9 Combine like terms: 4x + -5x = -1x -10 + -1x = 6 + 3x + -9 Reorder the terms: -10 + -1x = 6 + -9 + 3x Combine like terms: 6 + -9 = -3 -10 + -1x = -3 + 3x Solving -10 + -1x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + -1x + -3x = -3 + 3x + -3x Combine like terms: -1x + -3x = -4x -10 + -4x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -4x = -3 + 0 -10 + -4x = -3 Add '10' to each side of the equation. -10 + 10 + -4x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -3 + 10 -4x = -3 + 10 Combine like terms: -3 + 10 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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