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Simplifying 7 + 3(4x + -5) = 5 + -5(2x + 1) Reorder the terms: 7 + 3(-5 + 4x) = 5 + -5(2x + 1) 7 + (-5 * 3 + 4x * 3) = 5 + -5(2x + 1) 7 + (-15 + 12x) = 5 + -5(2x + 1) Combine like terms: 7 + -15 = -8 -8 + 12x = 5 + -5(2x + 1) Reorder the terms: -8 + 12x = 5 + -5(1 + 2x) -8 + 12x = 5 + (1 * -5 + 2x * -5) -8 + 12x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -8 + 12x = 0 + -10x -8 + 12x = -10x Solving -8 + 12x = -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. -8 + 12x + 10x = -10x + 10x Combine like terms: 12x + 10x = 22x -8 + 22x = -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 22x = 0 Add '8' to each side of the equation. -8 + 8 + 22x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 0 + 8 22x = 0 + 8 Combine like terms: 0 + 8 = 8 22x = 8 Divide each side by '22'. x = 0.3636363636 Simplifying x = 0.3636363636
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