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Simplifying 6(3x + -8) + 7(-2x + 6) = 0 Reorder the terms: 6(-8 + 3x) + 7(-2x + 6) = 0 (-8 * 6 + 3x * 6) + 7(-2x + 6) = 0 (-48 + 18x) + 7(-2x + 6) = 0 Reorder the terms: -48 + 18x + 7(6 + -2x) = 0 -48 + 18x + (6 * 7 + -2x * 7) = 0 -48 + 18x + (42 + -14x) = 0 Reorder the terms: -48 + 42 + 18x + -14x = 0 Combine like terms: -48 + 42 = -6 -6 + 18x + -14x = 0 Combine like terms: 18x + -14x = 4x -6 + 4x = 0 Solving -6 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 0 + 6 4x = 0 + 6 Combine like terms: 0 + 6 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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