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Simplifying 8(x + -11) + -2 = 29x + -258 Reorder the terms: 8(-11 + x) + -2 = 29x + -258 (-11 * 8 + x * 8) + -2 = 29x + -258 (-88 + 8x) + -2 = 29x + -258 Reorder the terms: -88 + -2 + 8x = 29x + -258 Combine like terms: -88 + -2 = -90 -90 + 8x = 29x + -258 Reorder the terms: -90 + 8x = -258 + 29x Solving -90 + 8x = -258 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -90 + 8x + -29x = -258 + 29x + -29x Combine like terms: 8x + -29x = -21x -90 + -21x = -258 + 29x + -29x Combine like terms: 29x + -29x = 0 -90 + -21x = -258 + 0 -90 + -21x = -258 Add '90' to each side of the equation. -90 + 90 + -21x = -258 + 90 Combine like terms: -90 + 90 = 0 0 + -21x = -258 + 90 -21x = -258 + 90 Combine like terms: -258 + 90 = -168 -21x = -168 Divide each side by '-21'. x = 8 Simplifying x = 8
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