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Simplifying 4 + 3(4x + -5) = 6 + -5(2x + 1) Reorder the terms: 4 + 3(-5 + 4x) = 6 + -5(2x + 1) 4 + (-5 * 3 + 4x * 3) = 6 + -5(2x + 1) 4 + (-15 + 12x) = 6 + -5(2x + 1) Combine like terms: 4 + -15 = -11 -11 + 12x = 6 + -5(2x + 1) Reorder the terms: -11 + 12x = 6 + -5(1 + 2x) -11 + 12x = 6 + (1 * -5 + 2x * -5) -11 + 12x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -11 + 12x = 1 + -10x Solving -11 + 12x = 1 + -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. -11 + 12x + 10x = 1 + -10x + 10x Combine like terms: 12x + 10x = 22x -11 + 22x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -11 + 22x = 1 + 0 -11 + 22x = 1 Add '11' to each side of the equation. -11 + 11 + 22x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 22x = 1 + 11 22x = 1 + 11 Combine like terms: 1 + 11 = 12 22x = 12 Divide each side by '22'. x = 0.5454545455 Simplifying x = 0.5454545455
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