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Simplifying 2(3x + -4) + -10 = 15 + 3(2x + 1) Reorder the terms: 2(-4 + 3x) + -10 = 15 + 3(2x + 1) (-4 * 2 + 3x * 2) + -10 = 15 + 3(2x + 1) (-8 + 6x) + -10 = 15 + 3(2x + 1) Reorder the terms: -8 + -10 + 6x = 15 + 3(2x + 1) Combine like terms: -8 + -10 = -18 -18 + 6x = 15 + 3(2x + 1) Reorder the terms: -18 + 6x = 15 + 3(1 + 2x) -18 + 6x = 15 + (1 * 3 + 2x * 3) -18 + 6x = 15 + (3 + 6x) Combine like terms: 15 + 3 = 18 -18 + 6x = 18 + 6x Add '-6x' to each side of the equation. -18 + 6x + -6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 0 = 18 + 6x + -6x -18 = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 = 18 + 0 -18 = 18 Solving -18 = 18 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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