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Simplifying 6(x + -3) + x = 7(x + -3) + 3 Reorder the terms: 6(-3 + x) + x = 7(x + -3) + 3 (-3 * 6 + x * 6) + x = 7(x + -3) + 3 (-18 + 6x) + x = 7(x + -3) + 3 Combine like terms: 6x + x = 7x -18 + 7x = 7(x + -3) + 3 Reorder the terms: -18 + 7x = 7(-3 + x) + 3 -18 + 7x = (-3 * 7 + x * 7) + 3 -18 + 7x = (-21 + 7x) + 3 Reorder the terms: -18 + 7x = -21 + 3 + 7x Combine like terms: -21 + 3 = -18 -18 + 7x = -18 + 7x Add '18' to each side of the equation. -18 + 18 + 7x = -18 + 18 + 7x Combine like terms: -18 + 18 = 0 0 + 7x = -18 + 18 + 7x 7x = -18 + 18 + 7x Combine like terms: -18 + 18 = 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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