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Simplifying 6(x + 1) = 14x + -6 Reorder the terms: 6(1 + x) = 14x + -6 (1 * 6 + x * 6) = 14x + -6 (6 + 6x) = 14x + -6 Reorder the terms: 6 + 6x = -6 + 14x Solving 6 + 6x = -6 + 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. 6 + 6x + -14x = -6 + 14x + -14x Combine like terms: 6x + -14x = -8x 6 + -8x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -8x = -6 + 0 6 + -8x = -6 Add '-6' to each side of the equation. 6 + -6 + -8x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -6 + -6 -8x = -6 + -6 Combine like terms: -6 + -6 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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