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Simplifying 7(4x + -9) = (-26 + 6x) Reorder the terms: 7(-9 + 4x) = (-26 + 6x) (-9 * 7 + 4x * 7) = (-26 + 6x) (-63 + 28x) = (-26 + 6x) Remove parenthesis around (-26 + 6x) -63 + 28x = -26 + 6x Solving -63 + 28x = -26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -63 + 28x + -6x = -26 + 6x + -6x Combine like terms: 28x + -6x = 22x -63 + 22x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 -63 + 22x = -26 + 0 -63 + 22x = -26 Add '63' to each side of the equation. -63 + 63 + 22x = -26 + 63 Combine like terms: -63 + 63 = 0 0 + 22x = -26 + 63 22x = -26 + 63 Combine like terms: -26 + 63 = 37 22x = 37 Divide each side by '22'. x = 1.681818182 Simplifying x = 1.681818182
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