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Simplifying 7(6x + -4) = -1(2x + 2) Reorder the terms: 7(-4 + 6x) = -1(2x + 2) (-4 * 7 + 6x * 7) = -1(2x + 2) (-28 + 42x) = -1(2x + 2) Reorder the terms: -28 + 42x = -1(2 + 2x) -28 + 42x = (2 * -1 + 2x * -1) -28 + 42x = (-2 + -2x) Solving -28 + 42x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + 42x + 2x = -2 + -2x + 2x Combine like terms: 42x + 2x = 44x -28 + 44x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 44x = -2 + 0 -28 + 44x = -2 Add '28' to each side of the equation. -28 + 28 + 44x = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 44x = -2 + 28 44x = -2 + 28 Combine like terms: -2 + 28 = 26 44x = 26 Divide each side by '44'. x = 0.5909090909 Simplifying x = 0.5909090909
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