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Simplifying 4 + -8(2 + -3x) = 1(4x + -2) + x 4 + (2 * -8 + -3x * -8) = 1(4x + -2) + x 4 + (-16 + 24x) = 1(4x + -2) + x Combine like terms: 4 + -16 = -12 -12 + 24x = 1(4x + -2) + x Reorder the terms: -12 + 24x = 1(-2 + 4x) + x -12 + 24x = (-2 * 1 + 4x * 1) + x -12 + 24x = (-2 + 4x) + x Combine like terms: 4x + x = 5x -12 + 24x = -2 + 5x Solving -12 + 24x = -2 + 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. -12 + 24x + -5x = -2 + 5x + -5x Combine like terms: 24x + -5x = 19x -12 + 19x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 19x = -2 + 0 -12 + 19x = -2 Add '12' to each side of the equation. -12 + 12 + 19x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 19x = -2 + 12 19x = -2 + 12 Combine like terms: -2 + 12 = 10 19x = 10 Divide each side by '19'. x = 0.5263157895 Simplifying x = 0.5263157895
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