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Simplifying 0.2(x + 3) + -0.4(x + 3) = -0.02x + -0.6 Reorder the terms: 0.2(3 + x) + -0.4(x + 3) = -0.02x + -0.6 (3 * 0.2 + x * 0.2) + -0.4(x + 3) = -0.02x + -0.6 (0.6 + 0.2x) + -0.4(x + 3) = -0.02x + -0.6 Reorder the terms: 0.6 + 0.2x + -0.4(3 + x) = -0.02x + -0.6 0.6 + 0.2x + (3 * -0.4 + x * -0.4) = -0.02x + -0.6 0.6 + 0.2x + (-1.2 + -0.4x) = -0.02x + -0.6 Reorder the terms: 0.6 + -1.2 + 0.2x + -0.4x = -0.02x + -0.6 Combine like terms: 0.6 + -1.2 = -0.6 -0.6 + 0.2x + -0.4x = -0.02x + -0.6 Combine like terms: 0.2x + -0.4x = -0.2x -0.6 + -0.2x = -0.02x + -0.6 Reorder the terms: -0.6 + -0.2x = -0.6 + -0.02x Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.2x = -0.6 + 0.6 + -0.02x Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.2x = -0.6 + 0.6 + -0.02x -0.2x = -0.6 + 0.6 + -0.02x Combine like terms: -0.6 + 0.6 = 0.0 -0.2x = 0.0 + -0.02x -0.2x = -0.02x Solving -0.2x = -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. -0.2x + 0.02x = -0.02x + 0.02x Combine like terms: -0.2x + 0.02x = -0.18x -0.18x = -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 -0.18x = 0.00 Divide each side by '-0.18'. x = 0 Simplifying x = 0
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