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Simplifying 0.3(x + 3) + -0.5(x + 3) = -0.2x + -0.6 Reorder the terms: 0.3(3 + x) + -0.5(x + 3) = -0.2x + -0.6 (3 * 0.3 + x * 0.3) + -0.5(x + 3) = -0.2x + -0.6 (0.9 + 0.3x) + -0.5(x + 3) = -0.2x + -0.6 Reorder the terms: 0.9 + 0.3x + -0.5(3 + x) = -0.2x + -0.6 0.9 + 0.3x + (3 * -0.5 + x * -0.5) = -0.2x + -0.6 0.9 + 0.3x + (-1.5 + -0.5x) = -0.2x + -0.6 Reorder the terms: 0.9 + -1.5 + 0.3x + -0.5x = -0.2x + -0.6 Combine like terms: 0.9 + -1.5 = -0.6 -0.6 + 0.3x + -0.5x = -0.2x + -0.6 Combine like terms: 0.3x + -0.5x = -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 Add '0.2x' to each side of the equation. -0.2x + 0.2x = -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.0 = -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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