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Simplifying 4x + 2 + 7x = 10x + 3 + 2x Reorder the terms: 2 + 4x + 7x = 10x + 3 + 2x Combine like terms: 4x + 7x = 11x 2 + 11x = 10x + 3 + 2x Reorder the terms: 2 + 11x = 3 + 10x + 2x Combine like terms: 10x + 2x = 12x 2 + 11x = 3 + 12x Solving 2 + 11x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 11x + -12x = 3 + 12x + -12x Combine like terms: 11x + -12x = -1x 2 + -1x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -1x = 3 + 0 2 + -1x = 3 Add '-2' to each side of the equation. 2 + -2 + -1x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 3 + -2 -1x = 3 + -2 Combine like terms: 3 + -2 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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