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Simplifying 4(6x + -3) + -6(1 + -3x) = -60 Reorder the terms: 4(-3 + 6x) + -6(1 + -3x) = -60 (-3 * 4 + 6x * 4) + -6(1 + -3x) = -60 (-12 + 24x) + -6(1 + -3x) = -60 -12 + 24x + (1 * -6 + -3x * -6) = -60 -12 + 24x + (-6 + 18x) = -60 Reorder the terms: -12 + -6 + 24x + 18x = -60 Combine like terms: -12 + -6 = -18 -18 + 24x + 18x = -60 Combine like terms: 24x + 18x = 42x -18 + 42x = -60 Solving -18 + 42x = -60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 42x = -60 + 18 Combine like terms: -18 + 18 = 0 0 + 42x = -60 + 18 42x = -60 + 18 Combine like terms: -60 + 18 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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