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Simplifying 5(x + 1) = 3(5x + -4) + -10x Reorder the terms: 5(1 + x) = 3(5x + -4) + -10x (1 * 5 + x * 5) = 3(5x + -4) + -10x (5 + 5x) = 3(5x + -4) + -10x Reorder the terms: 5 + 5x = 3(-4 + 5x) + -10x 5 + 5x = (-4 * 3 + 5x * 3) + -10x 5 + 5x = (-12 + 15x) + -10x Combine like terms: 15x + -10x = 5x 5 + 5x = -12 + 5x Add '-5x' to each side of the equation. 5 + 5x + -5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 0 = -12 + 5x + -5x 5 = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 5 = -12 + 0 5 = -12 Solving 5 = -12 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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