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Simplifying 10x + 3 + -4x + 4 = -2x + 7x Reorder the terms: 3 + 4 + 10x + -4x = -2x + 7x Combine like terms: 3 + 4 = 7 7 + 10x + -4x = -2x + 7x Combine like terms: 10x + -4x = 6x 7 + 6x = -2x + 7x Combine like terms: -2x + 7x = 5x 7 + 6x = 5x Solving 7 + 6x = 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. 7 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 7 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 7 + 1x = 0 Add '-7' to each side of the equation. 7 + -7 + 1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 0 + -7 1x = 0 + -7 Combine like terms: 0 + -7 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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