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Simplifying 5x + -4x + 3x + -10 = 3x + 5x + -2x + 10 Reorder the terms: -10 + 5x + -4x + 3x = 3x + 5x + -2x + 10 Combine like terms: 5x + -4x = 1x -10 + 1x + 3x = 3x + 5x + -2x + 10 Combine like terms: 1x + 3x = 4x -10 + 4x = 3x + 5x + -2x + 10 Reorder the terms: -10 + 4x = 10 + 3x + 5x + -2x Combine like terms: 3x + 5x = 8x -10 + 4x = 10 + 8x + -2x Combine like terms: 8x + -2x = 6x -10 + 4x = 10 + 6x Solving -10 + 4x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 4x + -6x = 10 + 6x + -6x Combine like terms: 4x + -6x = -2x -10 + -2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -2x = 10 + 0 -10 + -2x = 10 Add '10' to each side of the equation. -10 + 10 + -2x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 10 + 10 -2x = 10 + 10 Combine like terms: 10 + 10 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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