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Simplifying 3(3x + -4) + -5(x + 6) = -107 Reorder the terms: 3(-4 + 3x) + -5(x + 6) = -107 (-4 * 3 + 3x * 3) + -5(x + 6) = -107 (-12 + 9x) + -5(x + 6) = -107 Reorder the terms: -12 + 9x + -5(6 + x) = -107 -12 + 9x + (6 * -5 + x * -5) = -107 -12 + 9x + (-30 + -5x) = -107 Reorder the terms: -12 + -30 + 9x + -5x = -107 Combine like terms: -12 + -30 = -42 -42 + 9x + -5x = -107 Combine like terms: 9x + -5x = 4x -42 + 4x = -107 Solving -42 + 4x = -107 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 4x = -107 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -107 + 42 4x = -107 + 42 Combine like terms: -107 + 42 = -65 4x = -65 Divide each side by '4'. x = -16.25 Simplifying x = -16.25
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