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Simplifying 7x + 10 + -4x = 6 + 2x + 3 Reorder the terms: 10 + 7x + -4x = 6 + 2x + 3 Combine like terms: 7x + -4x = 3x 10 + 3x = 6 + 2x + 3 Reorder the terms: 10 + 3x = 6 + 3 + 2x Combine like terms: 6 + 3 = 9 10 + 3x = 9 + 2x Solving 10 + 3x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = 9 + 0 10 + 1x = 9 Add '-10' to each side of the equation. 10 + -10 + 1x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 9 + -10 1x = 9 + -10 Combine like terms: 9 + -10 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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