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Simplifying 3(x + -6) + 2x = 5(x + 4) + -38 Reorder the terms: 3(-6 + x) + 2x = 5(x + 4) + -38 (-6 * 3 + x * 3) + 2x = 5(x + 4) + -38 (-18 + 3x) + 2x = 5(x + 4) + -38 Combine like terms: 3x + 2x = 5x -18 + 5x = 5(x + 4) + -38 Reorder the terms: -18 + 5x = 5(4 + x) + -38 -18 + 5x = (4 * 5 + x * 5) + -38 -18 + 5x = (20 + 5x) + -38 Reorder the terms: -18 + 5x = 20 + -38 + 5x Combine like terms: 20 + -38 = -18 -18 + 5x = -18 + 5x Add '18' to each side of the equation. -18 + 18 + 5x = -18 + 18 + 5x Combine like terms: -18 + 18 = 0 0 + 5x = -18 + 18 + 5x 5x = -18 + 18 + 5x Combine like terms: -18 + 18 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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