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Simplifying 18(5x + -1) + -18(3x) = 18(4x + 3) Reorder the terms: 18(-1 + 5x) + -18(3x) = 18(4x + 3) (-1 * 18 + 5x * 18) + -18(3x) = 18(4x + 3) (-18 + 90x) + -18(3x) = 18(4x + 3) Remove parenthesis around (3x) -18 + 90x + -18 * 3x = 18(4x + 3) Multiply -18 * 3 -18 + 90x + -54x = 18(4x + 3) Combine like terms: 90x + -54x = 36x -18 + 36x = 18(4x + 3) Reorder the terms: -18 + 36x = 18(3 + 4x) -18 + 36x = (3 * 18 + 4x * 18) -18 + 36x = (54 + 72x) Solving -18 + 36x = 54 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -18 + 36x + -72x = 54 + 72x + -72x Combine like terms: 36x + -72x = -36x -18 + -36x = 54 + 72x + -72x Combine like terms: 72x + -72x = 0 -18 + -36x = 54 + 0 -18 + -36x = 54 Add '18' to each side of the equation. -18 + 18 + -36x = 54 + 18 Combine like terms: -18 + 18 = 0 0 + -36x = 54 + 18 -36x = 54 + 18 Combine like terms: 54 + 18 = 72 -36x = 72 Divide each side by '-36'. x = -2 Simplifying x = -2
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