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Simplifying -7x + -26(x + 2) = -4(8x + 4) Reorder the terms: -7x + -26(2 + x) = -4(8x + 4) -7x + (2 * -26 + x * -26) = -4(8x + 4) -7x + (-52 + -26x) = -4(8x + 4) Reorder the terms: -52 + -7x + -26x = -4(8x + 4) Combine like terms: -7x + -26x = -33x -52 + -33x = -4(8x + 4) Reorder the terms: -52 + -33x = -4(4 + 8x) -52 + -33x = (4 * -4 + 8x * -4) -52 + -33x = (-16 + -32x) Solving -52 + -33x = -16 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -52 + -33x + 32x = -16 + -32x + 32x Combine like terms: -33x + 32x = -1x -52 + -1x = -16 + -32x + 32x Combine like terms: -32x + 32x = 0 -52 + -1x = -16 + 0 -52 + -1x = -16 Add '52' to each side of the equation. -52 + 52 + -1x = -16 + 52 Combine like terms: -52 + 52 = 0 0 + -1x = -16 + 52 -1x = -16 + 52 Combine like terms: -16 + 52 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36
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