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Simplifying 0.2(3x + -5) = 0.15(2x + 3) + -0.85 Reorder the terms: 0.2(-5 + 3x) = 0.15(2x + 3) + -0.85 (-5 * 0.2 + 3x * 0.2) = 0.15(2x + 3) + -0.85 (-1 + 0.6x) = 0.15(2x + 3) + -0.85 Reorder the terms: -1 + 0.6x = 0.15(3 + 2x) + -0.85 -1 + 0.6x = (3 * 0.15 + 2x * 0.15) + -0.85 -1 + 0.6x = (0.45 + 0.3x) + -0.85 Reorder the terms: -1 + 0.6x = 0.45 + -0.85 + 0.3x Combine like terms: 0.45 + -0.85 = -0.4 -1 + 0.6x = -0.4 + 0.3x Solving -1 + 0.6x = -0.4 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -1 + 0.6x + -0.3x = -0.4 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x -1 + 0.3x = -0.4 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -1 + 0.3x = -0.4 + 0.0 -1 + 0.3x = -0.4 Add '1' to each side of the equation. -1 + 1 + 0.3x = -0.4 + 1 Combine like terms: -1 + 1 = 0 0 + 0.3x = -0.4 + 1 0.3x = -0.4 + 1 Combine like terms: -0.4 + 1 = 0.6 0.3x = 0.6 Divide each side by '0.3'. x = 2 Simplifying x = 2
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