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Simplifying (6x + -4) = 7(6x + -4) + 9 Reorder the terms: (-4 + 6x) = 7(6x + -4) + 9 Remove parenthesis around (-4 + 6x) -4 + 6x = 7(6x + -4) + 9 Reorder the terms: -4 + 6x = 7(-4 + 6x) + 9 -4 + 6x = (-4 * 7 + 6x * 7) + 9 -4 + 6x = (-28 + 42x) + 9 Reorder the terms: -4 + 6x = -28 + 9 + 42x Combine like terms: -28 + 9 = -19 -4 + 6x = -19 + 42x Solving -4 + 6x = -19 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -4 + 6x + -42x = -19 + 42x + -42x Combine like terms: 6x + -42x = -36x -4 + -36x = -19 + 42x + -42x Combine like terms: 42x + -42x = 0 -4 + -36x = -19 + 0 -4 + -36x = -19 Add '4' to each side of the equation. -4 + 4 + -36x = -19 + 4 Combine like terms: -4 + 4 = 0 0 + -36x = -19 + 4 -36x = -19 + 4 Combine like terms: -19 + 4 = -15 -36x = -15 Divide each side by '-36'. x = 0.4166666667 Simplifying x = 0.4166666667
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