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Simplifying 2(x + 5) + 52 = 5x + -3(x + -4) Reorder the terms: 2(5 + x) + 52 = 5x + -3(x + -4) (5 * 2 + x * 2) + 52 = 5x + -3(x + -4) (10 + 2x) + 52 = 5x + -3(x + -4) Reorder the terms: 10 + 52 + 2x = 5x + -3(x + -4) Combine like terms: 10 + 52 = 62 62 + 2x = 5x + -3(x + -4) Reorder the terms: 62 + 2x = 5x + -3(-4 + x) 62 + 2x = 5x + (-4 * -3 + x * -3) 62 + 2x = 5x + (12 + -3x) Reorder the terms: 62 + 2x = 12 + 5x + -3x Combine like terms: 5x + -3x = 2x 62 + 2x = 12 + 2x Add '-2x' to each side of the equation. 62 + 2x + -2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 62 + 0 = 12 + 2x + -2x 62 = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 62 = 12 + 0 62 = 12 Solving 62 = 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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