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Simplifying 0.7(x + -9) + -0.9(x + -9) = -0.2x + 1.8 Reorder the terms: 0.7(-9 + x) + -0.9(x + -9) = -0.2x + 1.8 (-9 * 0.7 + x * 0.7) + -0.9(x + -9) = -0.2x + 1.8 (-6.3 + 0.7x) + -0.9(x + -9) = -0.2x + 1.8 Reorder the terms: -6.3 + 0.7x + -0.9(-9 + x) = -0.2x + 1.8 -6.3 + 0.7x + (-9 * -0.9 + x * -0.9) = -0.2x + 1.8 -6.3 + 0.7x + (8.1 + -0.9x) = -0.2x + 1.8 Reorder the terms: -6.3 + 8.1 + 0.7x + -0.9x = -0.2x + 1.8 Combine like terms: -6.3 + 8.1 = 1.8 1.8 + 0.7x + -0.9x = -0.2x + 1.8 Combine like terms: 0.7x + -0.9x = -0.2x 1.8 + -0.2x = -0.2x + 1.8 Reorder the terms: 1.8 + -0.2x = 1.8 + -0.2x Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.2x = 1.8 + -1.8 + -0.2x Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.2x = 1.8 + -1.8 + -0.2x -0.2x = 1.8 + -1.8 + -0.2x Combine like terms: 1.8 + -1.8 = 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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