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Simplifying 3x + -6 + -4 + 2x = 4x + 24 + -3 + 2x + -19 Reorder the terms: -6 + -4 + 3x + 2x = 4x + 24 + -3 + 2x + -19 Combine like terms: -6 + -4 = -10 -10 + 3x + 2x = 4x + 24 + -3 + 2x + -19 Combine like terms: 3x + 2x = 5x -10 + 5x = 4x + 24 + -3 + 2x + -19 Reorder the terms: -10 + 5x = 24 + -3 + -19 + 4x + 2x Combine like terms: 24 + -3 = 21 -10 + 5x = 21 + -19 + 4x + 2x Combine like terms: 21 + -19 = 2 -10 + 5x = 2 + 4x + 2x Combine like terms: 4x + 2x = 6x -10 + 5x = 2 + 6x Solving -10 + 5x = 2 + 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 + 5x + -6x = 2 + 6x + -6x Combine like terms: 5x + -6x = -1x -10 + -1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -1x = 2 + 0 -10 + -1x = 2 Add '10' to each side of the equation. -10 + 10 + -1x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 2 + 10 -1x = 2 + 10 Combine like terms: 2 + 10 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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