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Simplifying -3x + 2 + x + 4 = -3(x + 2) + 14 Reorder the terms: 2 + 4 + -3x + x = -3(x + 2) + 14 Combine like terms: 2 + 4 = 6 6 + -3x + x = -3(x + 2) + 14 Combine like terms: -3x + x = -2x 6 + -2x = -3(x + 2) + 14 Reorder the terms: 6 + -2x = -3(2 + x) + 14 6 + -2x = (2 * -3 + x * -3) + 14 6 + -2x = (-6 + -3x) + 14 Reorder the terms: 6 + -2x = -6 + 14 + -3x Combine like terms: -6 + 14 = 8 6 + -2x = 8 + -3x Solving 6 + -2x = 8 + -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. 6 + -2x + 3x = 8 + -3x + 3x Combine like terms: -2x + 3x = 1x 6 + 1x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 1x = 8 + 0 6 + 1x = 8 Add '-6' to each side of the equation. 6 + -6 + 1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 8 + -6 1x = 8 + -6 Combine like terms: 8 + -6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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