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Simplifying 4(2x + -2) + -1x + 4 = 52 Reorder the terms: 4(-2 + 2x) + -1x + 4 = 52 (-2 * 4 + 2x * 4) + -1x + 4 = 52 (-8 + 8x) + -1x + 4 = 52 Reorder the terms: -8 + 4 + 8x + -1x = 52 Combine like terms: -8 + 4 = -4 -4 + 8x + -1x = 52 Combine like terms: 8x + -1x = 7x -4 + 7x = 52 Solving -4 + 7x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 52 + 4 7x = 52 + 4 Combine like terms: 52 + 4 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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