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