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Simplifying 15x + -1(12 + -3x) = 8 + -1(7x + 2) 15x + (12 * -1 + -3x * -1) = 8 + -1(7x + 2) 15x + (-12 + 3x) = 8 + -1(7x + 2) Reorder the terms: -12 + 15x + 3x = 8 + -1(7x + 2) Combine like terms: 15x + 3x = 18x -12 + 18x = 8 + -1(7x + 2) Reorder the terms: -12 + 18x = 8 + -1(2 + 7x) -12 + 18x = 8 + (2 * -1 + 7x * -1) -12 + 18x = 8 + (-2 + -7x) Combine like terms: 8 + -2 = 6 -12 + 18x = 6 + -7x Solving -12 + 18x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 18x + 7x = 6 + -7x + 7x Combine like terms: 18x + 7x = 25x -12 + 25x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 25x = 6 + 0 -12 + 25x = 6 Add '12' to each side of the equation. -12 + 12 + 25x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 25x = 6 + 12 25x = 6 + 12 Combine like terms: 6 + 12 = 18 25x = 18 Divide each side by '25'. x = 0.72 Simplifying x = 0.72
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