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Simplifying 3 + -4(2x + -7) = 5x + 1 Reorder the terms: 3 + -4(-7 + 2x) = 5x + 1 3 + (-7 * -4 + 2x * -4) = 5x + 1 3 + (28 + -8x) = 5x + 1 Combine like terms: 3 + 28 = 31 31 + -8x = 5x + 1 Reorder the terms: 31 + -8x = 1 + 5x Solving 31 + -8x = 1 + 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. 31 + -8x + -5x = 1 + 5x + -5x Combine like terms: -8x + -5x = -13x 31 + -13x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -13x = 1 + 0 31 + -13x = 1 Add '-31' to each side of the equation. 31 + -31 + -13x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -13x = 1 + -31 -13x = 1 + -31 Combine like terms: 1 + -31 = -30 -13x = -30 Divide each side by '-13'. x = 2.307692308 Simplifying x = 2.307692308
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