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Simplifying 6(x + -3) = 4(x + -4) + 2(x + -1) Reorder the terms: 6(-3 + x) = 4(x + -4) + 2(x + -1) (-3 * 6 + x * 6) = 4(x + -4) + 2(x + -1) (-18 + 6x) = 4(x + -4) + 2(x + -1) Reorder the terms: -18 + 6x = 4(-4 + x) + 2(x + -1) -18 + 6x = (-4 * 4 + x * 4) + 2(x + -1) -18 + 6x = (-16 + 4x) + 2(x + -1) Reorder the terms: -18 + 6x = -16 + 4x + 2(-1 + x) -18 + 6x = -16 + 4x + (-1 * 2 + x * 2) -18 + 6x = -16 + 4x + (-2 + 2x) Reorder the terms: -18 + 6x = -16 + -2 + 4x + 2x Combine like terms: -16 + -2 = -18 -18 + 6x = -18 + 4x + 2x Combine like terms: 4x + 2x = 6x -18 + 6x = -18 + 6x Add '18' to each side of the equation. -18 + 18 + 6x = -18 + 18 + 6x Combine like terms: -18 + 18 = 0 0 + 6x = -18 + 18 + 6x 6x = -18 + 18 + 6x Combine like terms: -18 + 18 = 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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