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Simplifying -29.5 = 5.5 + 8(1x + -8.5) Reorder the terms: -29.5 = 5.5 + 8(-8.5 + 1x) -29.5 = 5.5 + (-8.5 * 8 + 1x * 8) -29.5 = 5.5 + (-68 + 8x) Combine like terms: 5.5 + -68 = -62.5 -29.5 = -62.5 + 8x Solving -29.5 = -62.5 + 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. -29.5 + -8x = -62.5 + 8x + -8x Combine like terms: 8x + -8x = 0 -29.5 + -8x = -62.5 + 0 -29.5 + -8x = -62.5 Add '29.5' to each side of the equation. -29.5 + 29.5 + -8x = -62.5 + 29.5 Combine like terms: -29.5 + 29.5 = 0.0 0.0 + -8x = -62.5 + 29.5 -8x = -62.5 + 29.5 Combine like terms: -62.5 + 29.5 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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