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Simplifying 4(-3x + 6) = 5x + -13 Reorder the terms: 4(6 + -3x) = 5x + -13 (6 * 4 + -3x * 4) = 5x + -13 (24 + -12x) = 5x + -13 Reorder the terms: 24 + -12x = -13 + 5x Solving 24 + -12x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + -12x + -5x = -13 + 5x + -5x Combine like terms: -12x + -5x = -17x 24 + -17x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -17x = -13 + 0 24 + -17x = -13 Add '-24' to each side of the equation. 24 + -24 + -17x = -13 + -24 Combine like terms: 24 + -24 = 0 0 + -17x = -13 + -24 -17x = -13 + -24 Combine like terms: -13 + -24 = -37 -17x = -37 Divide each side by '-17'. x = 2.176470588 Simplifying x = 2.176470588
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