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