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Simplifying x + -4(x + -3) = 8(x + 1) Reorder the terms: x + -4(-3 + x) = 8(x + 1) x + (-3 * -4 + x * -4) = 8(x + 1) x + (12 + -4x) = 8(x + 1) Reorder the terms: 12 + x + -4x = 8(x + 1) Combine like terms: x + -4x = -3x 12 + -3x = 8(x + 1) Reorder the terms: 12 + -3x = 8(1 + x) 12 + -3x = (1 * 8 + x * 8) 12 + -3x = (8 + 8x) Solving 12 + -3x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -3x + -8x = 8 + 8x + -8x Combine like terms: -3x + -8x = -11x 12 + -11x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -11x = 8 + 0 12 + -11x = 8 Add '-12' to each side of the equation. 12 + -12 + -11x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 8 + -12 -11x = 8 + -12 Combine like terms: 8 + -12 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636
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