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Simplifying 2 + -3(x + 4) = 7(1 + -5x) Reorder the terms: 2 + -3(4 + x) = 7(1 + -5x) 2 + (4 * -3 + x * -3) = 7(1 + -5x) 2 + (-12 + -3x) = 7(1 + -5x) Combine like terms: 2 + -12 = -10 -10 + -3x = 7(1 + -5x) -10 + -3x = (1 * 7 + -5x * 7) -10 + -3x = (7 + -35x) Solving -10 + -3x = 7 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -10 + -3x + 35x = 7 + -35x + 35x Combine like terms: -3x + 35x = 32x -10 + 32x = 7 + -35x + 35x Combine like terms: -35x + 35x = 0 -10 + 32x = 7 + 0 -10 + 32x = 7 Add '10' to each side of the equation. -10 + 10 + 32x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 32x = 7 + 10 32x = 7 + 10 Combine like terms: 7 + 10 = 17 32x = 17 Divide each side by '32'. x = 0.53125 Simplifying x = 0.53125
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