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Simplifying 4(3x + 11) = 2.5(16 + 4x) Reorder the terms: 4(11 + 3x) = 2.5(16 + 4x) (11 * 4 + 3x * 4) = 2.5(16 + 4x) (44 + 12x) = 2.5(16 + 4x) 44 + 12x = (16 * 2.5 + 4x * 2.5) 44 + 12x = (40 + 10x) Solving 44 + 12x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 44 + 12x + -10x = 40 + 10x + -10x Combine like terms: 12x + -10x = 2x 44 + 2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 44 + 2x = 40 + 0 44 + 2x = 40 Add '-44' to each side of the equation. 44 + -44 + 2x = 40 + -44 Combine like terms: 44 + -44 = 0 0 + 2x = 40 + -44 2x = 40 + -44 Combine like terms: 40 + -44 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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