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Simplifying 14x + 189 = 2x + 11(3 + -6x) Reorder the terms: 189 + 14x = 2x + 11(3 + -6x) 189 + 14x = 2x + (3 * 11 + -6x * 11) 189 + 14x = 2x + (33 + -66x) Reorder the terms: 189 + 14x = 33 + 2x + -66x Combine like terms: 2x + -66x = -64x 189 + 14x = 33 + -64x Solving 189 + 14x = 33 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 189 + 14x + 64x = 33 + -64x + 64x Combine like terms: 14x + 64x = 78x 189 + 78x = 33 + -64x + 64x Combine like terms: -64x + 64x = 0 189 + 78x = 33 + 0 189 + 78x = 33 Add '-189' to each side of the equation. 189 + -189 + 78x = 33 + -189 Combine like terms: 189 + -189 = 0 0 + 78x = 33 + -189 78x = 33 + -189 Combine like terms: 33 + -189 = -156 78x = -156 Divide each side by '78'. x = -2 Simplifying x = -2
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