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Simplifying -13 + -3x = 5(8x + 6) Reorder the terms: -13 + -3x = 5(6 + 8x) -13 + -3x = (6 * 5 + 8x * 5) -13 + -3x = (30 + 40x) Solving -13 + -3x = 30 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -13 + -3x + -40x = 30 + 40x + -40x Combine like terms: -3x + -40x = -43x -13 + -43x = 30 + 40x + -40x Combine like terms: 40x + -40x = 0 -13 + -43x = 30 + 0 -13 + -43x = 30 Add '13' to each side of the equation. -13 + 13 + -43x = 30 + 13 Combine like terms: -13 + 13 = 0 0 + -43x = 30 + 13 -43x = 30 + 13 Combine like terms: 30 + 13 = 43 -43x = 43 Divide each side by '-43'. x = -1 Simplifying x = -1
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