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Simplifying 2x + 8 = -3(4 + -5x) Reorder the terms: 8 + 2x = -3(4 + -5x) 8 + 2x = (4 * -3 + -5x * -3) 8 + 2x = (-12 + 15x) Solving 8 + 2x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 2x + -15x = -12 + 15x + -15x Combine like terms: 2x + -15x = -13x 8 + -13x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -13x = -12 + 0 8 + -13x = -12 Add '-8' to each side of the equation. 8 + -8 + -13x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -12 + -8 -13x = -12 + -8 Combine like terms: -12 + -8 = -20 -13x = -20 Divide each side by '-13'. x = 1.538461538 Simplifying x = 1.538461538
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