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Simplifying 3x + -7(2x + -13) = 3(-2x + 8) Reorder the terms: 3x + -7(-13 + 2x) = 3(-2x + 8) 3x + (-13 * -7 + 2x * -7) = 3(-2x + 8) 3x + (91 + -14x) = 3(-2x + 8) Reorder the terms: 91 + 3x + -14x = 3(-2x + 8) Combine like terms: 3x + -14x = -11x 91 + -11x = 3(-2x + 8) Reorder the terms: 91 + -11x = 3(8 + -2x) 91 + -11x = (8 * 3 + -2x * 3) 91 + -11x = (24 + -6x) Solving 91 + -11x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 91 + -11x + 6x = 24 + -6x + 6x Combine like terms: -11x + 6x = -5x 91 + -5x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 91 + -5x = 24 + 0 91 + -5x = 24 Add '-91' to each side of the equation. 91 + -91 + -5x = 24 + -91 Combine like terms: 91 + -91 = 0 0 + -5x = 24 + -91 -5x = 24 + -91 Combine like terms: 24 + -91 = -67 -5x = -67 Divide each side by '-5'. x = 13.4 Simplifying x = 13.4
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