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Simplifying 7(2x + -3) + 6 = -2 + (-6 + -20) + -1 Reorder the terms: 7(-3 + 2x) + 6 = -2 + (-6 + -20) + -1 (-3 * 7 + 2x * 7) + 6 = -2 + (-6 + -20) + -1 (-21 + 14x) + 6 = -2 + (-6 + -20) + -1 Reorder the terms: -21 + 6 + 14x = -2 + (-6 + -20) + -1 Combine like terms: -21 + 6 = -15 -15 + 14x = -2 + (-6 + -20) + -1 Combine like terms: -6 + -20 = -26 -15 + 14x = -2 + (-26) + -1 -15 + 14x = -2 + -26 + -1 Combine like terms: -2 + -26 = -28 -15 + 14x = -28 + -1 Combine like terms: -28 + -1 = -29 -15 + 14x = -29 Solving -15 + 14x = -29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 14x = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = -29 + 15 14x = -29 + 15 Combine like terms: -29 + 15 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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