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Simplifying 5(2x + -1) + -3(x + -4) = 7(x + 1) Reorder the terms: 5(-1 + 2x) + -3(x + -4) = 7(x + 1) (-1 * 5 + 2x * 5) + -3(x + -4) = 7(x + 1) (-5 + 10x) + -3(x + -4) = 7(x + 1) Reorder the terms: -5 + 10x + -3(-4 + x) = 7(x + 1) -5 + 10x + (-4 * -3 + x * -3) = 7(x + 1) -5 + 10x + (12 + -3x) = 7(x + 1) Reorder the terms: -5 + 12 + 10x + -3x = 7(x + 1) Combine like terms: -5 + 12 = 7 7 + 10x + -3x = 7(x + 1) Combine like terms: 10x + -3x = 7x 7 + 7x = 7(x + 1) Reorder the terms: 7 + 7x = 7(1 + x) 7 + 7x = (1 * 7 + x * 7) 7 + 7x = (7 + 7x) Add '-7' to each side of the equation. 7 + -7 + 7x = 7 + -7 + 7x Combine like terms: 7 + -7 = 0 0 + 7x = 7 + -7 + 7x 7x = 7 + -7 + 7x Combine like terms: 7 + -7 = 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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