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Simplifying 5(x + -3) + 2x = 7(x + 4) + -43 Reorder the terms: 5(-3 + x) + 2x = 7(x + 4) + -43 (-3 * 5 + x * 5) + 2x = 7(x + 4) + -43 (-15 + 5x) + 2x = 7(x + 4) + -43 Combine like terms: 5x + 2x = 7x -15 + 7x = 7(x + 4) + -43 Reorder the terms: -15 + 7x = 7(4 + x) + -43 -15 + 7x = (4 * 7 + x * 7) + -43 -15 + 7x = (28 + 7x) + -43 Reorder the terms: -15 + 7x = 28 + -43 + 7x Combine like terms: 28 + -43 = -15 -15 + 7x = -15 + 7x Add '15' to each side of the equation. -15 + 15 + 7x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 0 + 7x = -15 + 15 + 7x 7x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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