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Simplifying 7(0.25x + -6.12) + 2.25 = 4.12x + -23.56 Reorder the terms: 7(-6.12 + 0.25x) + 2.25 = 4.12x + -23.56 (-6.12 * 7 + 0.25x * 7) + 2.25 = 4.12x + -23.56 (-42.84 + 1.75x) + 2.25 = 4.12x + -23.56 Reorder the terms: -42.84 + 2.25 + 1.75x = 4.12x + -23.56 Combine like terms: -42.84 + 2.25 = -40.59 -40.59 + 1.75x = 4.12x + -23.56 Reorder the terms: -40.59 + 1.75x = -23.56 + 4.12x Solving -40.59 + 1.75x = -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. -40.59 + 1.75x + -4.12x = -23.56 + 4.12x + -4.12x Combine like terms: 1.75x + -4.12x = -2.37x -40.59 + -2.37x = -23.56 + 4.12x + -4.12x Combine like terms: 4.12x + -4.12x = 0.00 -40.59 + -2.37x = -23.56 + 0.00 -40.59 + -2.37x = -23.56 Add '40.59' to each side of the equation. -40.59 + 40.59 + -2.37x = -23.56 + 40.59 Combine like terms: -40.59 + 40.59 = 0.00 0.00 + -2.37x = -23.56 + 40.59 -2.37x = -23.56 + 40.59 Combine like terms: -23.56 + 40.59 = 17.03 -2.37x = 17.03 Divide each side by '-2.37'. x = -7.185654008 Simplifying x = -7.185654008
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