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Simplifying 6(x + -6) = 1(3x + 4) Reorder the terms: 6(-6 + x) = 1(3x + 4) (-6 * 6 + x * 6) = 1(3x + 4) (-36 + 6x) = 1(3x + 4) Reorder the terms: -36 + 6x = 1(4 + 3x) -36 + 6x = (4 * 1 + 3x * 1) -36 + 6x = (4 + 3x) Solving -36 + 6x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x -36 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 3x = 4 + 0 -36 + 3x = 4 Add '36' to each side of the equation. -36 + 36 + 3x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = 4 + 36 3x = 4 + 36 Combine like terms: 4 + 36 = 40 3x = 40 Divide each side by '3'. x = 13.33333333 Simplifying x = 13.33333333
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