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Simplifying 6(x + -1) + 3(3x + -1) + -2(5x + -1) = 12 Reorder the terms: 6(-1 + x) + 3(3x + -1) + -2(5x + -1) = 12 (-1 * 6 + x * 6) + 3(3x + -1) + -2(5x + -1) = 12 (-6 + 6x) + 3(3x + -1) + -2(5x + -1) = 12 Reorder the terms: -6 + 6x + 3(-1 + 3x) + -2(5x + -1) = 12 -6 + 6x + (-1 * 3 + 3x * 3) + -2(5x + -1) = 12 -6 + 6x + (-3 + 9x) + -2(5x + -1) = 12 Reorder the terms: -6 + 6x + -3 + 9x + -2(-1 + 5x) = 12 -6 + 6x + -3 + 9x + (-1 * -2 + 5x * -2) = 12 -6 + 6x + -3 + 9x + (2 + -10x) = 12 Reorder the terms: -6 + -3 + 2 + 6x + 9x + -10x = 12 Combine like terms: -6 + -3 = -9 -9 + 2 + 6x + 9x + -10x = 12 Combine like terms: -9 + 2 = -7 -7 + 6x + 9x + -10x = 12 Combine like terms: 6x + 9x = 15x -7 + 15x + -10x = 12 Combine like terms: 15x + -10x = 5x -7 + 5x = 12 Solving -7 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 12 + 7 5x = 12 + 7 Combine like terms: 12 + 7 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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