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Simplifying 8 + 3(4x + -6) = 7 + -5(2x + 1) Reorder the terms: 8 + 3(-6 + 4x) = 7 + -5(2x + 1) 8 + (-6 * 3 + 4x * 3) = 7 + -5(2x + 1) 8 + (-18 + 12x) = 7 + -5(2x + 1) Combine like terms: 8 + -18 = -10 -10 + 12x = 7 + -5(2x + 1) Reorder the terms: -10 + 12x = 7 + -5(1 + 2x) -10 + 12x = 7 + (1 * -5 + 2x * -5) -10 + 12x = 7 + (-5 + -10x) Combine like terms: 7 + -5 = 2 -10 + 12x = 2 + -10x Solving -10 + 12x = 2 + -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. -10 + 12x + 10x = 2 + -10x + 10x Combine like terms: 12x + 10x = 22x -10 + 22x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 22x = 2 + 0 -10 + 22x = 2 Add '10' to each side of the equation. -10 + 10 + 22x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 22x = 2 + 10 22x = 2 + 10 Combine like terms: 2 + 10 = 12 22x = 12 Divide each side by '22'. x = 0.5454545455 Simplifying x = 0.5454545455
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