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Simplifying 0.02x + 1.3 = 0.16x + -2.9 Reorder the terms: 1.3 + 0.02x = 0.16x + -2.9 Reorder the terms: 1.3 + 0.02x = -2.9 + 0.16x Solving 1.3 + 0.02x = -2.9 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 1.3 + 0.02x + -0.16x = -2.9 + 0.16x + -0.16x Combine like terms: 0.02x + -0.16x = -0.14x 1.3 + -0.14x = -2.9 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 1.3 + -0.14x = -2.9 + 0.00 1.3 + -0.14x = -2.9 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -0.14x = -2.9 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -0.14x = -2.9 + -1.3 -0.14x = -2.9 + -1.3 Combine like terms: -2.9 + -1.3 = -4.2 -0.14x = -4.2 Divide each side by '-0.14'. x = 30 Simplifying x = 30
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