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Simplifying 16.25 + 0.06(x + 3) = 16.75 + -0.12x Reorder the terms: 16.25 + 0.06(3 + x) = 16.75 + -0.12x 16.25 + (3 * 0.06 + x * 0.06) = 16.75 + -0.12x 16.25 + (0.18 + 0.06x) = 16.75 + -0.12x Combine like terms: 16.25 + 0.18 = 16.43 16.43 + 0.06x = 16.75 + -0.12x Solving 16.43 + 0.06x = 16.75 + -0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.12x' to each side of the equation. 16.43 + 0.06x + 0.12x = 16.75 + -0.12x + 0.12x Combine like terms: 0.06x + 0.12x = 0.18x 16.43 + 0.18x = 16.75 + -0.12x + 0.12x Combine like terms: -0.12x + 0.12x = 0.00 16.43 + 0.18x = 16.75 + 0.00 16.43 + 0.18x = 16.75 Add '-16.43' to each side of the equation. 16.43 + -16.43 + 0.18x = 16.75 + -16.43 Combine like terms: 16.43 + -16.43 = 0.00 0.00 + 0.18x = 16.75 + -16.43 0.18x = 16.75 + -16.43 Combine like terms: 16.75 + -16.43 = 0.32 0.18x = 0.32 Divide each side by '0.18'. x = 1.777777778 Simplifying x = 1.777777778
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