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Simplifying 5(x + 7) + -3x = 2(x + -5) + 4 Reorder the terms: 5(7 + x) + -3x = 2(x + -5) + 4 (7 * 5 + x * 5) + -3x = 2(x + -5) + 4 (35 + 5x) + -3x = 2(x + -5) + 4 Combine like terms: 5x + -3x = 2x 35 + 2x = 2(x + -5) + 4 Reorder the terms: 35 + 2x = 2(-5 + x) + 4 35 + 2x = (-5 * 2 + x * 2) + 4 35 + 2x = (-10 + 2x) + 4 Reorder the terms: 35 + 2x = -10 + 4 + 2x Combine like terms: -10 + 4 = -6 35 + 2x = -6 + 2x Add '-2x' to each side of the equation. 35 + 2x + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 0 = -6 + 2x + -2x 35 = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 35 = -6 + 0 35 = -6 Solving 35 = -6 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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