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Simplifying 5.5 + -1x = -1(-7x + 6) Reorder the terms: 5.5 + -1x = -1(6 + -7x) 5.5 + -1x = (6 * -1 + -7x * -1) 5.5 + -1x = (-6 + 7x) Solving 5.5 + -1x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5.5 + -1x + -7x = -6 + 7x + -7x Combine like terms: -1x + -7x = -8x 5.5 + -8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 5.5 + -8x = -6 + 0 5.5 + -8x = -6 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -8x = -6 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -8x = -6 + -5.5 -8x = -6 + -5.5 Combine like terms: -6 + -5.5 = -11.5 -8x = -11.5 Divide each side by '-8'. x = 1.4375 Simplifying x = 1.4375
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