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Simplifying 10x + -5 + -14x + 28 = 35 + -3x + -2x Reorder the terms: -5 + 28 + 10x + -14x = 35 + -3x + -2x Combine like terms: -5 + 28 = 23 23 + 10x + -14x = 35 + -3x + -2x Combine like terms: 10x + -14x = -4x 23 + -4x = 35 + -3x + -2x Combine like terms: -3x + -2x = -5x 23 + -4x = 35 + -5x Solving 23 + -4x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 23 + -4x + 5x = 35 + -5x + 5x Combine like terms: -4x + 5x = 1x 23 + 1x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 23 + 1x = 35 + 0 23 + 1x = 35 Add '-23' to each side of the equation. 23 + -23 + 1x = 35 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 35 + -23 1x = 35 + -23 Combine like terms: 35 + -23 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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