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Simplifying 7 + 7(2x + -6) = 6 + -2(7x + 7) Reorder the terms: 7 + 7(-6 + 2x) = 6 + -2(7x + 7) 7 + (-6 * 7 + 2x * 7) = 6 + -2(7x + 7) 7 + (-42 + 14x) = 6 + -2(7x + 7) Combine like terms: 7 + -42 = -35 -35 + 14x = 6 + -2(7x + 7) Reorder the terms: -35 + 14x = 6 + -2(7 + 7x) -35 + 14x = 6 + (7 * -2 + 7x * -2) -35 + 14x = 6 + (-14 + -14x) Combine like terms: 6 + -14 = -8 -35 + 14x = -8 + -14x Solving -35 + 14x = -8 + -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. -35 + 14x + 14x = -8 + -14x + 14x Combine like terms: 14x + 14x = 28x -35 + 28x = -8 + -14x + 14x Combine like terms: -14x + 14x = 0 -35 + 28x = -8 + 0 -35 + 28x = -8 Add '35' to each side of the equation. -35 + 35 + 28x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 28x = -8 + 35 28x = -8 + 35 Combine like terms: -8 + 35 = 27 28x = 27 Divide each side by '28'. x = 0.9642857143 Simplifying x = 0.9642857143
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