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Simplifying 6(x + 2) = 14x + -40 Reorder the terms: 6(2 + x) = 14x + -40 (2 * 6 + x * 6) = 14x + -40 (12 + 6x) = 14x + -40 Reorder the terms: 12 + 6x = -40 + 14x Solving 12 + 6x = -40 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 6x + -14x = -40 + 14x + -14x Combine like terms: 6x + -14x = -8x 12 + -8x = -40 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -8x = -40 + 0 12 + -8x = -40 Add '-12' to each side of the equation. 12 + -12 + -8x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -40 + -12 -8x = -40 + -12 Combine like terms: -40 + -12 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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