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Simplifying 5.5(4x + 8) = 1.2 + -1(x + 2) Reorder the terms: 5.5(8 + 4x) = 1.2 + -1(x + 2) (8 * 5.5 + 4x * 5.5) = 1.2 + -1(x + 2) (44 + 22x) = 1.2 + -1(x + 2) Reorder the terms: 44 + 22x = 1.2 + -1(2 + x) 44 + 22x = 1.2 + (2 * -1 + x * -1) 44 + 22x = 1.2 + (-2 + -1x) Combine like terms: 1.2 + -2 = -0.8 44 + 22x = -0.8 + -1x Solving 44 + 22x = -0.8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 44 + 22x + x = -0.8 + -1x + x Combine like terms: 22x + x = 23x 44 + 23x = -0.8 + -1x + x Combine like terms: -1x + x = 0 44 + 23x = -0.8 + 0 44 + 23x = -0.8 Add '-44' to each side of the equation. 44 + -44 + 23x = -0.8 + -44 Combine like terms: 44 + -44 = 0 0 + 23x = -0.8 + -44 23x = -0.8 + -44 Combine like terms: -0.8 + -44 = -44.8 23x = -44.8 Divide each side by '23'. x = -1.947826087 Simplifying x = -1.947826087
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