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Simplifying 6(3x + 4) + -4(5x + -6) = 13 Reorder the terms: 6(4 + 3x) + -4(5x + -6) = 13 (4 * 6 + 3x * 6) + -4(5x + -6) = 13 (24 + 18x) + -4(5x + -6) = 13 Reorder the terms: 24 + 18x + -4(-6 + 5x) = 13 24 + 18x + (-6 * -4 + 5x * -4) = 13 24 + 18x + (24 + -20x) = 13 Reorder the terms: 24 + 24 + 18x + -20x = 13 Combine like terms: 24 + 24 = 48 48 + 18x + -20x = 13 Combine like terms: 18x + -20x = -2x 48 + -2x = 13 Solving 48 + -2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -2x = 13 + -48 Combine like terms: 48 + -48 = 0 0 + -2x = 13 + -48 -2x = 13 + -48 Combine like terms: 13 + -48 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5
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