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Simplifying 5x + -18 = 7(3x + 2) Reorder the terms: -18 + 5x = 7(3x + 2) Reorder the terms: -18 + 5x = 7(2 + 3x) -18 + 5x = (2 * 7 + 3x * 7) -18 + 5x = (14 + 21x) Solving -18 + 5x = 14 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -18 + 5x + -21x = 14 + 21x + -21x Combine like terms: 5x + -21x = -16x -18 + -16x = 14 + 21x + -21x Combine like terms: 21x + -21x = 0 -18 + -16x = 14 + 0 -18 + -16x = 14 Add '18' to each side of the equation. -18 + 18 + -16x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -16x = 14 + 18 -16x = 14 + 18 Combine like terms: 14 + 18 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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