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Simplifying 2(x + -5) + 7 = 5x + -3(1 + x) Reorder the terms: 2(-5 + x) + 7 = 5x + -3(1 + x) (-5 * 2 + x * 2) + 7 = 5x + -3(1 + x) (-10 + 2x) + 7 = 5x + -3(1 + x) Reorder the terms: -10 + 7 + 2x = 5x + -3(1 + x) Combine like terms: -10 + 7 = -3 -3 + 2x = 5x + -3(1 + x) -3 + 2x = 5x + (1 * -3 + x * -3) -3 + 2x = 5x + (-3 + -3x) Reorder the terms: -3 + 2x = -3 + 5x + -3x Combine like terms: 5x + -3x = 2x -3 + 2x = -3 + 2x Add '3' to each side of the equation. -3 + 3 + 2x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 0 + 2x = -3 + 3 + 2x 2x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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