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Simplifying 0.2x + -0.5(2x + 3) = 0.9x + 2 Reorder the terms: 0.2x + -0.5(3 + 2x) = 0.9x + 2 0.2x + (3 * -0.5 + 2x * -0.5) = 0.9x + 2 0.2x + (-1.5 + -1x) = 0.9x + 2 Reorder the terms: -1.5 + 0.2x + -1x = 0.9x + 2 Combine like terms: 0.2x + -1x = -0.8x -1.5 + -0.8x = 0.9x + 2 Reorder the terms: -1.5 + -0.8x = 2 + 0.9x Solving -1.5 + -0.8x = 2 + 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. -1.5 + -0.8x + -0.9x = 2 + 0.9x + -0.9x Combine like terms: -0.8x + -0.9x = -1.7x -1.5 + -1.7x = 2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -1.5 + -1.7x = 2 + 0.0 -1.5 + -1.7x = 2 Add '1.5' to each side of the equation. -1.5 + 1.5 + -1.7x = 2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.7x = 2 + 1.5 -1.7x = 2 + 1.5 Combine like terms: 2 + 1.5 = 3.5 -1.7x = 3.5 Divide each side by '-1.7'. x = -2.058823529 Simplifying x = -2.058823529
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