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Simplifying -2x + 10 + 3x = 4x + 2x + -10 Reorder the terms: 10 + -2x + 3x = 4x + 2x + -10 Combine like terms: -2x + 3x = 1x 10 + 1x = 4x + 2x + -10 Reorder the terms: 10 + 1x = -10 + 4x + 2x Combine like terms: 4x + 2x = 6x 10 + 1x = -10 + 6x Solving 10 + 1x = -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 + 1x + -6x = -10 + 6x + -6x Combine like terms: 1x + -6x = -5x 10 + -5x = -10 + 6x + -6x Combine like terms: 6x + -6x = 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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