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Simplifying 15 + (3x + -12) + -1(4x + 5) + -1(6x + 1) = 6 Reorder the terms: 15 + (-12 + 3x) + -1(4x + 5) + -1(6x + 1) = 6 Remove parenthesis around (-12 + 3x) 15 + -12 + 3x + -1(4x + 5) + -1(6x + 1) = 6 Reorder the terms: 15 + -12 + 3x + -1(5 + 4x) + -1(6x + 1) = 6 15 + -12 + 3x + (5 * -1 + 4x * -1) + -1(6x + 1) = 6 15 + -12 + 3x + (-5 + -4x) + -1(6x + 1) = 6 Reorder the terms: 15 + -12 + 3x + -5 + -4x + -1(1 + 6x) = 6 15 + -12 + 3x + -5 + -4x + (1 * -1 + 6x * -1) = 6 15 + -12 + 3x + -5 + -4x + (-1 + -6x) = 6 Reorder the terms: 15 + -12 + -5 + -1 + 3x + -4x + -6x = 6 Combine like terms: 15 + -12 = 3 3 + -5 + -1 + 3x + -4x + -6x = 6 Combine like terms: 3 + -5 = -2 -2 + -1 + 3x + -4x + -6x = 6 Combine like terms: -2 + -1 = -3 -3 + 3x + -4x + -6x = 6 Combine like terms: 3x + -4x = -1x -3 + -1x + -6x = 6 Combine like terms: -1x + -6x = -7x -3 + -7x = 6 Solving -3 + -7x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 6 + 3 -7x = 6 + 3 Combine like terms: 6 + 3 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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