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