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Simplifying 6(x + -3) + 12(x + 9) = 18x + 90 Reorder the terms: 6(-3 + x) + 12(x + 9) = 18x + 90 (-3 * 6 + x * 6) + 12(x + 9) = 18x + 90 (-18 + 6x) + 12(x + 9) = 18x + 90 Reorder the terms: -18 + 6x + 12(9 + x) = 18x + 90 -18 + 6x + (9 * 12 + x * 12) = 18x + 90 -18 + 6x + (108 + 12x) = 18x + 90 Reorder the terms: -18 + 108 + 6x + 12x = 18x + 90 Combine like terms: -18 + 108 = 90 90 + 6x + 12x = 18x + 90 Combine like terms: 6x + 12x = 18x 90 + 18x = 18x + 90 Reorder the terms: 90 + 18x = 90 + 18x Add '-90' to each side of the equation. 90 + -90 + 18x = 90 + -90 + 18x Combine like terms: 90 + -90 = 0 0 + 18x = 90 + -90 + 18x 18x = 90 + -90 + 18x Combine like terms: 90 + -90 = 0 18x = 0 + 18x 18x = 18x Add '-18x' to each side of the equation. 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 0 = 18x + -18x Combine like terms: 18x + -18x = 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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