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Simplifying 6 + 3(5x + -6) = 7 + -5(2x + 1) Reorder the terms: 6 + 3(-6 + 5x) = 7 + -5(2x + 1) 6 + (-6 * 3 + 5x * 3) = 7 + -5(2x + 1) 6 + (-18 + 15x) = 7 + -5(2x + 1) Combine like terms: 6 + -18 = -12 -12 + 15x = 7 + -5(2x + 1) Reorder the terms: -12 + 15x = 7 + -5(1 + 2x) -12 + 15x = 7 + (1 * -5 + 2x * -5) -12 + 15x = 7 + (-5 + -10x) Combine like terms: 7 + -5 = 2 -12 + 15x = 2 + -10x Solving -12 + 15x = 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. -12 + 15x + 10x = 2 + -10x + 10x Combine like terms: 15x + 10x = 25x -12 + 25x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 25x = 2 + 0 -12 + 25x = 2 Add '12' to each side of the equation. -12 + 12 + 25x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 25x = 2 + 12 25x = 2 + 12 Combine like terms: 2 + 12 = 14 25x = 14 Divide each side by '25'. x = 0.56 Simplifying x = 0.56
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