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Simplifying 6(3x + -1) + -7(2x + -1) = (x + 9) * 4 + -35 Reorder the terms: 6(-1 + 3x) + -7(2x + -1) = (x + 9) * 4 + -35 (-1 * 6 + 3x * 6) + -7(2x + -1) = (x + 9) * 4 + -35 (-6 + 18x) + -7(2x + -1) = (x + 9) * 4 + -35 Reorder the terms: -6 + 18x + -7(-1 + 2x) = (x + 9) * 4 + -35 -6 + 18x + (-1 * -7 + 2x * -7) = (x + 9) * 4 + -35 -6 + 18x + (7 + -14x) = (x + 9) * 4 + -35 Reorder the terms: -6 + 7 + 18x + -14x = (x + 9) * 4 + -35 Combine like terms: -6 + 7 = 1 1 + 18x + -14x = (x + 9) * 4 + -35 Combine like terms: 18x + -14x = 4x 1 + 4x = (x + 9) * 4 + -35 Reorder the terms: 1 + 4x = (9 + x) * 4 + -35 Reorder the terms for easier multiplication: 1 + 4x = 4(9 + x) + -35 1 + 4x = (9 * 4 + x * 4) + -35 1 + 4x = (36 + 4x) + -35 Reorder the terms: 1 + 4x = 36 + -35 + 4x Combine like terms: 36 + -35 = 1 1 + 4x = 1 + 4x Add '-1' to each side of the equation. 1 + -1 + 4x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + 4x = 1 + -1 + 4x 4x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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