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Simplifying (2)(2x + 7) = (16)(x + -1) Reorder the terms: 2(7 + 2x) = (16)(x + -1) (7 * 2 + 2x * 2) = (16)(x + -1) (14 + 4x) = (16)(x + -1) Reorder the terms: 14 + 4x = 16(-1 + x) 14 + 4x = (-1 * 16 + x * 16) 14 + 4x = (-16 + 16x) Solving 14 + 4x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 14 + 4x + -16x = -16 + 16x + -16x Combine like terms: 4x + -16x = -12x 14 + -12x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + -12x = -16 + 0 14 + -12x = -16 Add '-14' to each side of the equation. 14 + -14 + -12x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = -16 + -14 -12x = -16 + -14 Combine like terms: -16 + -14 = -30 -12x = -30 Divide each side by '-12'. x = 2.5 Simplifying x = 2.5
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