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Simplifying 16.07 + 0.09(x + 3) = 16.57 + -0.14x Reorder the terms: 16.07 + 0.09(3 + x) = 16.57 + -0.14x 16.07 + (3 * 0.09 + x * 0.09) = 16.57 + -0.14x 16.07 + (0.27 + 0.09x) = 16.57 + -0.14x Combine like terms: 16.07 + 0.27 = 16.34 16.34 + 0.09x = 16.57 + -0.14x Solving 16.34 + 0.09x = 16.57 + -0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.14x' to each side of the equation. 16.34 + 0.09x + 0.14x = 16.57 + -0.14x + 0.14x Combine like terms: 0.09x + 0.14x = 0.23x 16.34 + 0.23x = 16.57 + -0.14x + 0.14x Combine like terms: -0.14x + 0.14x = 0.00 16.34 + 0.23x = 16.57 + 0.00 16.34 + 0.23x = 16.57 Add '-16.34' to each side of the equation. 16.34 + -16.34 + 0.23x = 16.57 + -16.34 Combine like terms: 16.34 + -16.34 = 0.00 0.00 + 0.23x = 16.57 + -16.34 0.23x = 16.57 + -16.34 Combine like terms: 16.57 + -16.34 = 0.23 0.23x = 0.23 Divide each side by '0.23'. x = 1 Simplifying x = 1
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