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Simplifying 1.3x + -0.7(x + -6) = 0.6(x + -7) Reorder the terms: 1.3x + -0.7(-6 + x) = 0.6(x + -7) 1.3x + (-6 * -0.7 + x * -0.7) = 0.6(x + -7) 1.3x + (4.2 + -0.7x) = 0.6(x + -7) Reorder the terms: 4.2 + 1.3x + -0.7x = 0.6(x + -7) Combine like terms: 1.3x + -0.7x = 0.6x 4.2 + 0.6x = 0.6(x + -7) Reorder the terms: 4.2 + 0.6x = 0.6(-7 + x) 4.2 + 0.6x = (-7 * 0.6 + x * 0.6) 4.2 + 0.6x = (-4.2 + 0.6x) Add '-0.6x' to each side of the equation. 4.2 + 0.6x + -0.6x = -4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 4.2 + 0.0 = -4.2 + 0.6x + -0.6x 4.2 = -4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 4.2 = -4.2 + 0.0 4.2 = -4.2 Solving 4.2 = -4.2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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