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Simplifying 2 + 4(x + -7) = 6 + -2(x + -9) Reorder the terms: 2 + 4(-7 + x) = 6 + -2(x + -9) 2 + (-7 * 4 + x * 4) = 6 + -2(x + -9) 2 + (-28 + 4x) = 6 + -2(x + -9) Combine like terms: 2 + -28 = -26 -26 + 4x = 6 + -2(x + -9) Reorder the terms: -26 + 4x = 6 + -2(-9 + x) -26 + 4x = 6 + (-9 * -2 + x * -2) -26 + 4x = 6 + (18 + -2x) Combine like terms: 6 + 18 = 24 -26 + 4x = 24 + -2x Solving -26 + 4x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -26 + 4x + 2x = 24 + -2x + 2x Combine like terms: 4x + 2x = 6x -26 + 6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -26 + 6x = 24 + 0 -26 + 6x = 24 Add '26' to each side of the equation. -26 + 26 + 6x = 24 + 26 Combine like terms: -26 + 26 = 0 0 + 6x = 24 + 26 6x = 24 + 26 Combine like terms: 24 + 26 = 50 6x = 50 Divide each side by '6'. x = 8.333333333 Simplifying x = 8.333333333
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