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Simplifying 7(x + -20) + -5(x + -22) = 2x + -30 Reorder the terms: 7(-20 + x) + -5(x + -22) = 2x + -30 (-20 * 7 + x * 7) + -5(x + -22) = 2x + -30 (-140 + 7x) + -5(x + -22) = 2x + -30 Reorder the terms: -140 + 7x + -5(-22 + x) = 2x + -30 -140 + 7x + (-22 * -5 + x * -5) = 2x + -30 -140 + 7x + (110 + -5x) = 2x + -30 Reorder the terms: -140 + 110 + 7x + -5x = 2x + -30 Combine like terms: -140 + 110 = -30 -30 + 7x + -5x = 2x + -30 Combine like terms: 7x + -5x = 2x -30 + 2x = 2x + -30 Reorder the terms: -30 + 2x = -30 + 2x Add '30' to each side of the equation. -30 + 30 + 2x = -30 + 30 + 2x Combine like terms: -30 + 30 = 0 0 + 2x = -30 + 30 + 2x 2x = -30 + 30 + 2x Combine like terms: -30 + 30 = 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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