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Simplifying -6x + 4(1 + 7x) = -2(6 + -3x) + 8x -6x + (1 * 4 + 7x * 4) = -2(6 + -3x) + 8x -6x + (4 + 28x) = -2(6 + -3x) + 8x Reorder the terms: 4 + -6x + 28x = -2(6 + -3x) + 8x Combine like terms: -6x + 28x = 22x 4 + 22x = -2(6 + -3x) + 8x 4 + 22x = (6 * -2 + -3x * -2) + 8x 4 + 22x = (-12 + 6x) + 8x Combine like terms: 6x + 8x = 14x 4 + 22x = -12 + 14x Solving 4 + 22x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4 + 22x + -14x = -12 + 14x + -14x Combine like terms: 22x + -14x = 8x 4 + 8x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + 8x = -12 + 0 4 + 8x = -12 Add '-4' to each side of the equation. 4 + -4 + 8x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -12 + -4 8x = -12 + -4 Combine like terms: -12 + -4 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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