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Simplifying 7(2x + -3) + 6 = 2(-6x + -20) + -1 Reorder the terms: 7(-3 + 2x) + 6 = 2(-6x + -20) + -1 (-3 * 7 + 2x * 7) + 6 = 2(-6x + -20) + -1 (-21 + 14x) + 6 = 2(-6x + -20) + -1 Reorder the terms: -21 + 6 + 14x = 2(-6x + -20) + -1 Combine like terms: -21 + 6 = -15 -15 + 14x = 2(-6x + -20) + -1 Reorder the terms: -15 + 14x = 2(-20 + -6x) + -1 -15 + 14x = (-20 * 2 + -6x * 2) + -1 -15 + 14x = (-40 + -12x) + -1 Reorder the terms: -15 + 14x = -40 + -1 + -12x Combine like terms: -40 + -1 = -41 -15 + 14x = -41 + -12x Solving -15 + 14x = -41 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + 14x + 12x = -41 + -12x + 12x Combine like terms: 14x + 12x = 26x -15 + 26x = -41 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + 26x = -41 + 0 -15 + 26x = -41 Add '15' to each side of the equation. -15 + 15 + 26x = -41 + 15 Combine like terms: -15 + 15 = 0 0 + 26x = -41 + 15 26x = -41 + 15 Combine like terms: -41 + 15 = -26 26x = -26 Divide each side by '26'. x = -1 Simplifying x = -1
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