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Simplifying 2(3x + -14) = x + -1 + 13 Reorder the terms: 2(-14 + 3x) = x + -1 + 13 (-14 * 2 + 3x * 2) = x + -1 + 13 (-28 + 6x) = x + -1 + 13 Reorder the terms: -28 + 6x = -1 + 13 + x Combine like terms: -1 + 13 = 12 -28 + 6x = 12 + x Solving -28 + 6x = 12 + 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. -28 + 6x + -1x = 12 + x + -1x Combine like terms: 6x + -1x = 5x -28 + 5x = 12 + x + -1x Combine like terms: x + -1x = 0 -28 + 5x = 12 + 0 -28 + 5x = 12 Add '28' to each side of the equation. -28 + 28 + 5x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = 12 + 28 5x = 12 + 28 Combine like terms: 12 + 28 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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