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Simplifying 0.2x + 1.6 = 0.9x + -3.3 Reorder the terms: 1.6 + 0.2x = 0.9x + -3.3 Reorder the terms: 1.6 + 0.2x = -3.3 + 0.9x Solving 1.6 + 0.2x = -3.3 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.6 + 0.2x + -0.9x = -3.3 + 0.9x + -0.9x Combine like terms: 0.2x + -0.9x = -0.7x 1.6 + -0.7x = -3.3 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.6 + -0.7x = -3.3 + 0.0 1.6 + -0.7x = -3.3 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.7x = -3.3 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.7x = -3.3 + -1.6 -0.7x = -3.3 + -1.6 Combine like terms: -3.3 + -1.6 = -4.9 -0.7x = -4.9 Divide each side by '-0.7'. x = 7 Simplifying x = 7
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