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Simplifying 4(4x + -2) + 8 = -8x + 52 Reorder the terms: 4(-2 + 4x) + 8 = -8x + 52 (-2 * 4 + 4x * 4) + 8 = -8x + 52 (-8 + 16x) + 8 = -8x + 52 Reorder the terms: -8 + 8 + 16x = -8x + 52 Combine like terms: -8 + 8 = 0 0 + 16x = -8x + 52 16x = -8x + 52 Reorder the terms: 16x = 52 + -8x Solving 16x = 52 + -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. 16x + 8x = 52 + -8x + 8x Combine like terms: 16x + 8x = 24x 24x = 52 + -8x + 8x Combine like terms: -8x + 8x = 0 24x = 52 + 0 24x = 52 Divide each side by '24'. x = 2.166666667 Simplifying x = 2.166666667
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