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Simplifying 3(x + -6) + 2 = 14x + -7 Reorder the terms: 3(-6 + x) + 2 = 14x + -7 (-6 * 3 + x * 3) + 2 = 14x + -7 (-18 + 3x) + 2 = 14x + -7 Reorder the terms: -18 + 2 + 3x = 14x + -7 Combine like terms: -18 + 2 = -16 -16 + 3x = 14x + -7 Reorder the terms: -16 + 3x = -7 + 14x Solving -16 + 3x = -7 + 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. -16 + 3x + -14x = -7 + 14x + -14x Combine like terms: 3x + -14x = -11x -16 + -11x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -16 + -11x = -7 + 0 -16 + -11x = -7 Add '16' to each side of the equation. -16 + 16 + -11x = -7 + 16 Combine like terms: -16 + 16 = 0 0 + -11x = -7 + 16 -11x = -7 + 16 Combine like terms: -7 + 16 = 9 -11x = 9 Divide each side by '-11'. x = -0.8181818182 Simplifying x = -0.8181818182
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