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Simplifying 0.5(x + 3) + -0.7(x + 3) = 0.2x + -0.6 Reorder the terms: 0.5(3 + x) + -0.7(x + 3) = 0.2x + -0.6 (3 * 0.5 + x * 0.5) + -0.7(x + 3) = 0.2x + -0.6 (1.5 + 0.5x) + -0.7(x + 3) = 0.2x + -0.6 Reorder the terms: 1.5 + 0.5x + -0.7(3 + x) = 0.2x + -0.6 1.5 + 0.5x + (3 * -0.7 + x * -0.7) = 0.2x + -0.6 1.5 + 0.5x + (-2.1 + -0.7x) = 0.2x + -0.6 Reorder the terms: 1.5 + -2.1 + 0.5x + -0.7x = 0.2x + -0.6 Combine like terms: 1.5 + -2.1 = -0.6 -0.6 + 0.5x + -0.7x = 0.2x + -0.6 Combine like terms: 0.5x + -0.7x = -0.2x -0.6 + -0.2x = 0.2x + -0.6 Reorder the terms: -0.6 + -0.2x = -0.6 + 0.2x Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.2x = -0.6 + 0.6 + 0.2x Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.2x = -0.6 + 0.6 + 0.2x -0.2x = -0.6 + 0.6 + 0.2x Combine like terms: -0.6 + 0.6 = 0.0 -0.2x = 0.0 + 0.2x -0.2x = 0.2x Solving -0.2x = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.2x + -0.2x = 0.2x + -0.2x Combine like terms: -0.2x + -0.2x = -0.4x -0.4x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.4x = 0.0 Divide each side by '-0.4'. x = 0 Simplifying x = 0
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