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Simplifying 6(3x + -8) + -6(4x + 6) = 3 Reorder the terms: 6(-8 + 3x) + -6(4x + 6) = 3 (-8 * 6 + 3x * 6) + -6(4x + 6) = 3 (-48 + 18x) + -6(4x + 6) = 3 Reorder the terms: -48 + 18x + -6(6 + 4x) = 3 -48 + 18x + (6 * -6 + 4x * -6) = 3 -48 + 18x + (-36 + -24x) = 3 Reorder the terms: -48 + -36 + 18x + -24x = 3 Combine like terms: -48 + -36 = -84 -84 + 18x + -24x = 3 Combine like terms: 18x + -24x = -6x -84 + -6x = 3 Solving -84 + -6x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -6x = 3 + 84 Combine like terms: -84 + 84 = 0 0 + -6x = 3 + 84 -6x = 3 + 84 Combine like terms: 3 + 84 = 87 -6x = 87 Divide each side by '-6'. x = -14.5 Simplifying x = -14.5
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