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Simplifying x + -1(3x + -1) = 8(4x + -2) Reorder the terms: x + -1(-1 + 3x) = 8(4x + -2) x + (-1 * -1 + 3x * -1) = 8(4x + -2) x + (1 + -3x) = 8(4x + -2) Reorder the terms: 1 + x + -3x = 8(4x + -2) Combine like terms: x + -3x = -2x 1 + -2x = 8(4x + -2) Reorder the terms: 1 + -2x = 8(-2 + 4x) 1 + -2x = (-2 * 8 + 4x * 8) 1 + -2x = (-16 + 32x) Solving 1 + -2x = -16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 1 + -2x + -32x = -16 + 32x + -32x Combine like terms: -2x + -32x = -34x 1 + -34x = -16 + 32x + -32x Combine like terms: 32x + -32x = 0 1 + -34x = -16 + 0 1 + -34x = -16 Add '-1' to each side of the equation. 1 + -1 + -34x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -34x = -16 + -1 -34x = -16 + -1 Combine like terms: -16 + -1 = -17 -34x = -17 Divide each side by '-34'. x = 0.5 Simplifying x = 0.5
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