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Simplifying x + -7(2x + 1) = 8 + -3(4 + -5x) Reorder the terms: x + -7(1 + 2x) = 8 + -3(4 + -5x) x + (1 * -7 + 2x * -7) = 8 + -3(4 + -5x) x + (-7 + -14x) = 8 + -3(4 + -5x) Reorder the terms: -7 + x + -14x = 8 + -3(4 + -5x) Combine like terms: x + -14x = -13x -7 + -13x = 8 + -3(4 + -5x) -7 + -13x = 8 + (4 * -3 + -5x * -3) -7 + -13x = 8 + (-12 + 15x) Combine like terms: 8 + -12 = -4 -7 + -13x = -4 + 15x Solving -7 + -13x = -4 + 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. -7 + -13x + -15x = -4 + 15x + -15x Combine like terms: -13x + -15x = -28x -7 + -28x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + -28x = -4 + 0 -7 + -28x = -4 Add '7' to each side of the equation. -7 + 7 + -28x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -28x = -4 + 7 -28x = -4 + 7 Combine like terms: -4 + 7 = 3 -28x = 3 Divide each side by '-28'. x = -0.1071428571 Simplifying x = -0.1071428571
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