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Simplifying 2x + -3(3x + 1) = 3 + 3(3x + -18) Reorder the terms: 2x + -3(1 + 3x) = 3 + 3(3x + -18) 2x + (1 * -3 + 3x * -3) = 3 + 3(3x + -18) 2x + (-3 + -9x) = 3 + 3(3x + -18) Reorder the terms: -3 + 2x + -9x = 3 + 3(3x + -18) Combine like terms: 2x + -9x = -7x -3 + -7x = 3 + 3(3x + -18) Reorder the terms: -3 + -7x = 3 + 3(-18 + 3x) -3 + -7x = 3 + (-18 * 3 + 3x * 3) -3 + -7x = 3 + (-54 + 9x) Combine like terms: 3 + -54 = -51 -3 + -7x = -51 + 9x Solving -3 + -7x = -51 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + -7x + -9x = -51 + 9x + -9x Combine like terms: -7x + -9x = -16x -3 + -16x = -51 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -16x = -51 + 0 -3 + -16x = -51 Add '3' to each side of the equation. -3 + 3 + -16x = -51 + 3 Combine like terms: -3 + 3 = 0 0 + -16x = -51 + 3 -16x = -51 + 3 Combine like terms: -51 + 3 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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