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Simplifying 6(x + -14) = x + 3(x + 2) Reorder the terms: 6(-14 + x) = x + 3(x + 2) (-14 * 6 + x * 6) = x + 3(x + 2) (-84 + 6x) = x + 3(x + 2) Reorder the terms: -84 + 6x = x + 3(2 + x) -84 + 6x = x + (2 * 3 + x * 3) -84 + 6x = x + (6 + 3x) Reorder the terms: -84 + 6x = 6 + x + 3x Combine like terms: x + 3x = 4x -84 + 6x = 6 + 4x Solving -84 + 6x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -84 + 6x + -4x = 6 + 4x + -4x Combine like terms: 6x + -4x = 2x -84 + 2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -84 + 2x = 6 + 0 -84 + 2x = 6 Add '84' to each side of the equation. -84 + 84 + 2x = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 2x = 6 + 84 2x = 6 + 84 Combine like terms: 6 + 84 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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