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Simplifying -7(10x + 3) + 6(10x + -7) = 2x + 3 + -12x Reorder the terms: -7(3 + 10x) + 6(10x + -7) = 2x + 3 + -12x (3 * -7 + 10x * -7) + 6(10x + -7) = 2x + 3 + -12x (-21 + -70x) + 6(10x + -7) = 2x + 3 + -12x Reorder the terms: -21 + -70x + 6(-7 + 10x) = 2x + 3 + -12x -21 + -70x + (-7 * 6 + 10x * 6) = 2x + 3 + -12x -21 + -70x + (-42 + 60x) = 2x + 3 + -12x Reorder the terms: -21 + -42 + -70x + 60x = 2x + 3 + -12x Combine like terms: -21 + -42 = -63 -63 + -70x + 60x = 2x + 3 + -12x Combine like terms: -70x + 60x = -10x -63 + -10x = 2x + 3 + -12x Reorder the terms: -63 + -10x = 3 + 2x + -12x Combine like terms: 2x + -12x = -10x -63 + -10x = 3 + -10x Add '10x' to each side of the equation. -63 + -10x + 10x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -63 + 0 = 3 + -10x + 10x -63 = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -63 = 3 + 0 -63 = 3 Solving -63 = 3 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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