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Simplifying 4(x + -2) + 2x = 6(x + 5) + -38 Reorder the terms: 4(-2 + x) + 2x = 6(x + 5) + -38 (-2 * 4 + x * 4) + 2x = 6(x + 5) + -38 (-8 + 4x) + 2x = 6(x + 5) + -38 Combine like terms: 4x + 2x = 6x -8 + 6x = 6(x + 5) + -38 Reorder the terms: -8 + 6x = 6(5 + x) + -38 -8 + 6x = (5 * 6 + x * 6) + -38 -8 + 6x = (30 + 6x) + -38 Reorder the terms: -8 + 6x = 30 + -38 + 6x Combine like terms: 30 + -38 = -8 -8 + 6x = -8 + 6x Add '8' to each side of the equation. -8 + 8 + 6x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 6x = -8 + 8 + 6x 6x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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