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Simplifying 7(0.25x + -6.12) + 2.25x = 4.12 + -23.56 Reorder the terms: 7(-6.12 + 0.25x) + 2.25x = 4.12 + -23.56 (-6.12 * 7 + 0.25x * 7) + 2.25x = 4.12 + -23.56 (-42.84 + 1.75x) + 2.25x = 4.12 + -23.56 Combine like terms: 1.75x + 2.25x = 4x -42.84 + 4x = 4.12 + -23.56 Combine like terms: 4.12 + -23.56 = -19.44 -42.84 + 4x = -19.44 Solving -42.84 + 4x = -19.44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42.84' to each side of the equation. -42.84 + 42.84 + 4x = -19.44 + 42.84 Combine like terms: -42.84 + 42.84 = 0.00 0.00 + 4x = -19.44 + 42.84 4x = -19.44 + 42.84 Combine like terms: -19.44 + 42.84 = 23.4 4x = 23.4 Divide each side by '4'. x = 5.85 Simplifying x = 5.85
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