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Simplifying 6(3x + -6) = 4(x + -2) Reorder the terms: 6(-6 + 3x) = 4(x + -2) (-6 * 6 + 3x * 6) = 4(x + -2) (-36 + 18x) = 4(x + -2) Reorder the terms: -36 + 18x = 4(-2 + x) -36 + 18x = (-2 * 4 + x * 4) -36 + 18x = (-8 + 4x) Solving -36 + 18x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 18x + -4x = -8 + 4x + -4x Combine like terms: 18x + -4x = 14x -36 + 14x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 14x = -8 + 0 -36 + 14x = -8 Add '36' to each side of the equation. -36 + 36 + 14x = -8 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = -8 + 36 14x = -8 + 36 Combine like terms: -8 + 36 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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