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Simplifying (3 + 8)(4 + 2x) = 10 + -1.5(x + 4) Combine like terms: 3 + 8 = 11 (11)(4 + 2x) = 10 + -1.5(x + 4) (4 * 11 + 2x * 11) = 10 + -1.5(x + 4) (44 + 22x) = 10 + -1.5(x + 4) Reorder the terms: 44 + 22x = 10 + -1.5(4 + x) 44 + 22x = 10 + (4 * -1.5 + x * -1.5) 44 + 22x = 10 + (-6 + -1.5x) Combine like terms: 10 + -6 = 4 44 + 22x = 4 + -1.5x Solving 44 + 22x = 4 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 44 + 22x + 1.5x = 4 + -1.5x + 1.5x Combine like terms: 22x + 1.5x = 23.5x 44 + 23.5x = 4 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 44 + 23.5x = 4 + 0.0 44 + 23.5x = 4 Add '-44' to each side of the equation. 44 + -44 + 23.5x = 4 + -44 Combine like terms: 44 + -44 = 0 0 + 23.5x = 4 + -44 23.5x = 4 + -44 Combine like terms: 4 + -44 = -40 23.5x = -40 Divide each side by '23.5'. x = -1.70212766 Simplifying x = -1.70212766
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