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Simplifying 0.4(x + 1) + -0.7x = -0.1x + 0.7 + -0.2x + -0.3 Reorder the terms: 0.4(1 + x) + -0.7x = -0.1x + 0.7 + -0.2x + -0.3 (1 * 0.4 + x * 0.4) + -0.7x = -0.1x + 0.7 + -0.2x + -0.3 (0.4 + 0.4x) + -0.7x = -0.1x + 0.7 + -0.2x + -0.3 Combine like terms: 0.4x + -0.7x = -0.3x 0.4 + -0.3x = -0.1x + 0.7 + -0.2x + -0.3 Reorder the terms: 0.4 + -0.3x = 0.7 + -0.3 + -0.1x + -0.2x Combine like terms: 0.7 + -0.3 = 0.4 0.4 + -0.3x = 0.4 + -0.1x + -0.2x Combine like terms: -0.1x + -0.2x = -0.3x 0.4 + -0.3x = 0.4 + -0.3x Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.3x = 0.4 + -0.4 + -0.3x Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.3x = 0.4 + -0.4 + -0.3x -0.3x = 0.4 + -0.4 + -0.3x Combine like terms: 0.4 + -0.4 = 0.0 -0.3x = 0.0 + -0.3x -0.3x = -0.3x Add '0.3x' to each side of the equation. -0.3x + 0.3x = -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 0.0 = -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 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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