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Simplifying 0.2(x + -3) + -1 = 0.5(x + 3) + -0.4 Reorder the terms: 0.2(-3 + x) + -1 = 0.5(x + 3) + -0.4 (-3 * 0.2 + x * 0.2) + -1 = 0.5(x + 3) + -0.4 (-0.6 + 0.2x) + -1 = 0.5(x + 3) + -0.4 Reorder the terms: -0.6 + -1 + 0.2x = 0.5(x + 3) + -0.4 Combine like terms: -0.6 + -1 = -1.6 -1.6 + 0.2x = 0.5(x + 3) + -0.4 Reorder the terms: -1.6 + 0.2x = 0.5(3 + x) + -0.4 -1.6 + 0.2x = (3 * 0.5 + x * 0.5) + -0.4 -1.6 + 0.2x = (1.5 + 0.5x) + -0.4 Reorder the terms: -1.6 + 0.2x = 1.5 + -0.4 + 0.5x Combine like terms: 1.5 + -0.4 = 1.1 -1.6 + 0.2x = 1.1 + 0.5x Solving -1.6 + 0.2x = 1.1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1.6 + 0.2x + -0.5x = 1.1 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x -1.6 + -0.3x = 1.1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.6 + -0.3x = 1.1 + 0.0 -1.6 + -0.3x = 1.1 Add '1.6' to each side of the equation. -1.6 + 1.6 + -0.3x = 1.1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -0.3x = 1.1 + 1.6 -0.3x = 1.1 + 1.6 Combine like terms: 1.1 + 1.6 = 2.7 -0.3x = 2.7 Divide each side by '-0.3'. x = -9 Simplifying x = -9
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