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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 = 39 -15 + 14x = 39 + 12x Solving -15 + 14x = 39 + 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 = 39 + 12x + -12x Combine like terms: 14x + -12x = 2x -15 + 2x = 39 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 2x = 39 + 0 -15 + 2x = 39 Add '15' to each side of the equation. -15 + 15 + 2x = 39 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 39 + 15 2x = 39 + 15 Combine like terms: 39 + 15 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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