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Simplifying 4.55 + -1(2x + -4) = -1 + -13.25 + -1(4x + -6) Reorder the terms: 4.55 + -1(-4 + 2x) = -1 + -13.25 + -1(4x + -6) 4.55 + (-4 * -1 + 2x * -1) = -1 + -13.25 + -1(4x + -6) 4.55 + (4 + -2x) = -1 + -13.25 + -1(4x + -6) Combine like terms: 4.55 + 4 = 8.55 8.55 + -2x = -1 + -13.25 + -1(4x + -6) Reorder the terms: 8.55 + -2x = -1 + -13.25 + -1(-6 + 4x) 8.55 + -2x = -1 + -13.25 + (-6 * -1 + 4x * -1) 8.55 + -2x = -1 + -13.25 + (6 + -4x) Combine like terms: -1 + -13.25 = -14.25 8.55 + -2x = -14.25 + 6 + -4x Combine like terms: -14.25 + 6 = -8.25 8.55 + -2x = -8.25 + -4x Solving 8.55 + -2x = -8.25 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8.55 + -2x + 4x = -8.25 + -4x + 4x Combine like terms: -2x + 4x = 2x 8.55 + 2x = -8.25 + -4x + 4x Combine like terms: -4x + 4x = 0 8.55 + 2x = -8.25 + 0 8.55 + 2x = -8.25 Add '-8.55' to each side of the equation. 8.55 + -8.55 + 2x = -8.25 + -8.55 Combine like terms: 8.55 + -8.55 = 0.00 0.00 + 2x = -8.25 + -8.55 2x = -8.25 + -8.55 Combine like terms: -8.25 + -8.55 = -16.8 2x = -16.8 Divide each side by '2'. x = -8.4 Simplifying x = -8.4
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