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Simplifying 5.5(4x + -7) = 2x + 7 Reorder the terms: 5.5(-7 + 4x) = 2x + 7 (-7 * 5.5 + 4x * 5.5) = 2x + 7 (-38.5 + 22x) = 2x + 7 Reorder the terms: -38.5 + 22x = 7 + 2x Solving -38.5 + 22x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38.5 + 22x + -2x = 7 + 2x + -2x Combine like terms: 22x + -2x = 20x -38.5 + 20x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -38.5 + 20x = 7 + 0 -38.5 + 20x = 7 Add '38.5' to each side of the equation. -38.5 + 38.5 + 20x = 7 + 38.5 Combine like terms: -38.5 + 38.5 = 0.0 0.0 + 20x = 7 + 38.5 20x = 7 + 38.5 Combine like terms: 7 + 38.5 = 45.5 20x = 45.5 Divide each side by '20'. x = 2.275 Simplifying x = 2.275
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