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Simplifying 18(2x + -15) = 3(x + 21) Reorder the terms: 18(-15 + 2x) = 3(x + 21) (-15 * 18 + 2x * 18) = 3(x + 21) (-270 + 36x) = 3(x + 21) Reorder the terms: -270 + 36x = 3(21 + x) -270 + 36x = (21 * 3 + x * 3) -270 + 36x = (63 + 3x) Solving -270 + 36x = 63 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -270 + 36x + -3x = 63 + 3x + -3x Combine like terms: 36x + -3x = 33x -270 + 33x = 63 + 3x + -3x Combine like terms: 3x + -3x = 0 -270 + 33x = 63 + 0 -270 + 33x = 63 Add '270' to each side of the equation. -270 + 270 + 33x = 63 + 270 Combine like terms: -270 + 270 = 0 0 + 33x = 63 + 270 33x = 63 + 270 Combine like terms: 63 + 270 = 333 33x = 333 Divide each side by '33'. x = 10.09090909 Simplifying x = 10.09090909
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