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Simplifying (4 + 6)(4 + 1x) = 35 + -3.5(x + 4) Combine like terms: 4 + 6 = 10 (10)(4 + 1x) = 35 + -3.5(x + 4) (4 * 10 + 1x * 10) = 35 + -3.5(x + 4) (40 + 10x) = 35 + -3.5(x + 4) Reorder the terms: 40 + 10x = 35 + -3.5(4 + x) 40 + 10x = 35 + (4 * -3.5 + x * -3.5) 40 + 10x = 35 + (-14 + -3.5x) Combine like terms: 35 + -14 = 21 40 + 10x = 21 + -3.5x Solving 40 + 10x = 21 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 40 + 10x + 3.5x = 21 + -3.5x + 3.5x Combine like terms: 10x + 3.5x = 13.5x 40 + 13.5x = 21 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 40 + 13.5x = 21 + 0.0 40 + 13.5x = 21 Add '-40' to each side of the equation. 40 + -40 + 13.5x = 21 + -40 Combine like terms: 40 + -40 = 0 0 + 13.5x = 21 + -40 13.5x = 21 + -40 Combine like terms: 21 + -40 = -19 13.5x = -19 Divide each side by '13.5'. x = -1.407407407 Simplifying x = -1.407407407
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