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Simplifying 6(x + -9) = (x + -19) Reorder the terms: 6(-9 + x) = (x + -19) (-9 * 6 + x * 6) = (x + -19) (-54 + 6x) = (x + -19) Reorder the terms: -54 + 6x = (-19 + x) Remove parenthesis around (-19 + x) -54 + 6x = -19 + x Solving -54 + 6x = -19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -54 + 6x + -1x = -19 + x + -1x Combine like terms: 6x + -1x = 5x -54 + 5x = -19 + x + -1x Combine like terms: x + -1x = 0 -54 + 5x = -19 + 0 -54 + 5x = -19 Add '54' to each side of the equation. -54 + 54 + 5x = -19 + 54 Combine like terms: -54 + 54 = 0 0 + 5x = -19 + 54 5x = -19 + 54 Combine like terms: -19 + 54 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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