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Simplifying 3x + 10 + -2x = 9 + 3x + -7 Reorder the terms: 10 + 3x + -2x = 9 + 3x + -7 Combine like terms: 3x + -2x = 1x 10 + 1x = 9 + 3x + -7 Reorder the terms: 10 + 1x = 9 + -7 + 3x Combine like terms: 9 + -7 = 2 10 + 1x = 2 + 3x Solving 10 + 1x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 1x + -3x = 2 + 3x + -3x Combine like terms: 1x + -3x = -2x 10 + -2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -2x = 2 + 0 10 + -2x = 2 Add '-10' to each side of the equation. 10 + -10 + -2x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 2 + -10 -2x = 2 + -10 Combine like terms: 2 + -10 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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