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Simplifying 7(0.25x + -6.12) + 2.25x = 4.12x + -23.56 Reorder the terms: 7(-6.12 + 0.25x) + 2.25x = 4.12x + -23.56 (-6.12 * 7 + 0.25x * 7) + 2.25x = 4.12x + -23.56 (-42.84 + 1.75x) + 2.25x = 4.12x + -23.56 Combine like terms: 1.75x + 2.25x = 4x -42.84 + 4x = 4.12x + -23.56 Reorder the terms: -42.84 + 4x = -23.56 + 4.12x Solving -42.84 + 4x = -23.56 + 4.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.12x' to each side of the equation. -42.84 + 4x + -4.12x = -23.56 + 4.12x + -4.12x Combine like terms: 4x + -4.12x = -0.12x -42.84 + -0.12x = -23.56 + 4.12x + -4.12x Combine like terms: 4.12x + -4.12x = 0.00 -42.84 + -0.12x = -23.56 + 0.00 -42.84 + -0.12x = -23.56 Add '42.84' to each side of the equation. -42.84 + 42.84 + -0.12x = -23.56 + 42.84 Combine like terms: -42.84 + 42.84 = 0.00 0.00 + -0.12x = -23.56 + 42.84 -0.12x = -23.56 + 42.84 Combine like terms: -23.56 + 42.84 = 19.28 -0.12x = 19.28 Divide each side by '-0.12'. x = -160.6666667 Simplifying x = -160.6666667
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