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Simplifying -66 = -4(1 + -3x) + -7(x + -5) -66 = (1 * -4 + -3x * -4) + -7(x + -5) -66 = (-4 + 12x) + -7(x + -5) Reorder the terms: -66 = -4 + 12x + -7(-5 + x) -66 = -4 + 12x + (-5 * -7 + x * -7) -66 = -4 + 12x + (35 + -7x) Reorder the terms: -66 = -4 + 35 + 12x + -7x Combine like terms: -4 + 35 = 31 -66 = 31 + 12x + -7x Combine like terms: 12x + -7x = 5x -66 = 31 + 5x Solving -66 = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -66 + -5x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 -66 + -5x = 31 + 0 -66 + -5x = 31 Add '66' to each side of the equation. -66 + 66 + -5x = 31 + 66 Combine like terms: -66 + 66 = 0 0 + -5x = 31 + 66 -5x = 31 + 66 Combine like terms: 31 + 66 = 97 -5x = 97 Divide each side by '-5'. x = -19.4 Simplifying x = -19.4
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