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Simplifying 6(9x + -1) = 7(-4 + 2x) Reorder the terms: 6(-1 + 9x) = 7(-4 + 2x) (-1 * 6 + 9x * 6) = 7(-4 + 2x) (-6 + 54x) = 7(-4 + 2x) -6 + 54x = (-4 * 7 + 2x * 7) -6 + 54x = (-28 + 14x) Solving -6 + 54x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 54x + -14x = -28 + 14x + -14x Combine like terms: 54x + -14x = 40x -6 + 40x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + 40x = -28 + 0 -6 + 40x = -28 Add '6' to each side of the equation. -6 + 6 + 40x = -28 + 6 Combine like terms: -6 + 6 = 0 0 + 40x = -28 + 6 40x = -28 + 6 Combine like terms: -28 + 6 = -22 40x = -22 Divide each side by '40'. x = -0.55 Simplifying x = -0.55
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