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Simplifying -12 + 8x = 4(1 + 5x) + 4x -12 + 8x = (1 * 4 + 5x * 4) + 4x -12 + 8x = (4 + 20x) + 4x Combine like terms: 20x + 4x = 24x -12 + 8x = 4 + 24x Solving -12 + 8x = 4 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 8x + -24x = 4 + 24x + -24x Combine like terms: 8x + -24x = -16x -12 + -16x = 4 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -16x = 4 + 0 -12 + -16x = 4 Add '12' to each side of the equation. -12 + 12 + -16x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 4 + 12 -16x = 4 + 12 Combine like terms: 4 + 12 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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