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Simplifying 3(-2x + 5) = 6(-4x + -13) Reorder the terms: 3(5 + -2x) = 6(-4x + -13) (5 * 3 + -2x * 3) = 6(-4x + -13) (15 + -6x) = 6(-4x + -13) Reorder the terms: 15 + -6x = 6(-13 + -4x) 15 + -6x = (-13 * 6 + -4x * 6) 15 + -6x = (-78 + -24x) Solving 15 + -6x = -78 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 15 + -6x + 24x = -78 + -24x + 24x Combine like terms: -6x + 24x = 18x 15 + 18x = -78 + -24x + 24x Combine like terms: -24x + 24x = 0 15 + 18x = -78 + 0 15 + 18x = -78 Add '-15' to each side of the equation. 15 + -15 + 18x = -78 + -15 Combine like terms: 15 + -15 = 0 0 + 18x = -78 + -15 18x = -78 + -15 Combine like terms: -78 + -15 = -93 18x = -93 Divide each side by '18'. x = -5.166666667 Simplifying x = -5.166666667
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