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