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Simplifying (x + -100) * 0.22 = (x + 0) * 0.18 Reorder the terms: (-100 + x) * 0.22 = (x + 0) * 0.18 Reorder the terms for easier multiplication: 0.22(-100 + x) = (x + 0) * 0.18 (-100 * 0.22 + x * 0.22) = (x + 0) * 0.18 (-22 + 0.22x) = (x + 0) * 0.18 Reorder the terms: -22 + 0.22x = (0 + x) * 0.18 Remove the zero: -22 + 0.22x = (x) * 0.18 Reorder the terms for easier multiplication: -22 + 0.22x = 0.18x Solving -22 + 0.22x = 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. -22 + 0.22x + -0.18x = 0.18x + -0.18x Combine like terms: 0.22x + -0.18x = 0.04x -22 + 0.04x = 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 -22 + 0.04x = 0.00 Add '22' to each side of the equation. -22 + 22 + 0.04x = 0.00 + 22 Combine like terms: -22 + 22 = 0 0 + 0.04x = 0.00 + 22 0.04x = 0.00 + 22 Combine like terms: 0.00 + 22 = 22 0.04x = 22 Divide each side by '0.04'. x = 550 Simplifying x = 550
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