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Simplifying 6(2x + -5) = 1(x + 4) Reorder the terms: 6(-5 + 2x) = 1(x + 4) (-5 * 6 + 2x * 6) = 1(x + 4) (-30 + 12x) = 1(x + 4) Reorder the terms: -30 + 12x = 1(4 + x) -30 + 12x = (4 * 1 + x * 1) -30 + 12x = (4 + 1x) Solving -30 + 12x = 4 + 1x 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. -30 + 12x + -1x = 4 + 1x + -1x Combine like terms: 12x + -1x = 11x -30 + 11x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -30 + 11x = 4 + 0 -30 + 11x = 4 Add '30' to each side of the equation. -30 + 30 + 11x = 4 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 4 + 30 11x = 4 + 30 Combine like terms: 4 + 30 = 34 11x = 34 Divide each side by '11'. x = 3.090909091 Simplifying x = 3.090909091
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