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Simplifying 3x + -1(x + 8) = 0.2(10x + -19) + -4.2 Reorder the terms: 3x + -1(8 + x) = 0.2(10x + -19) + -4.2 3x + (8 * -1 + x * -1) = 0.2(10x + -19) + -4.2 3x + (-8 + -1x) = 0.2(10x + -19) + -4.2 Reorder the terms: -8 + 3x + -1x = 0.2(10x + -19) + -4.2 Combine like terms: 3x + -1x = 2x -8 + 2x = 0.2(10x + -19) + -4.2 Reorder the terms: -8 + 2x = 0.2(-19 + 10x) + -4.2 -8 + 2x = (-19 * 0.2 + 10x * 0.2) + -4.2 -8 + 2x = (-3.8 + 2x) + -4.2 Reorder the terms: -8 + 2x = -3.8 + -4.2 + 2x Combine like terms: -3.8 + -4.2 = -8 -8 + 2x = -8 + 2x Add '8' to each side of the equation. -8 + 8 + 2x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 0 + 2x = -8 + 8 + 2x 2x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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