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Simplifying 2(3 + -1x) + 3x = 3 + 2x + 4 (3 * 2 + -1x * 2) + 3x = 3 + 2x + 4 (6 + -2x) + 3x = 3 + 2x + 4 Combine like terms: -2x + 3x = 1x 6 + 1x = 3 + 2x + 4 Reorder the terms: 6 + 1x = 3 + 4 + 2x Combine like terms: 3 + 4 = 7 6 + 1x = 7 + 2x Solving 6 + 1x = 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. 6 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x 6 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = 7 + 0 6 + -1x = 7 Add '-6' to each side of the equation. 6 + -6 + -1x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 7 + -6 -1x = 7 + -6 Combine like terms: 7 + -6 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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