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Simplifying -150 = -6x + -6(-3x + 11) Reorder the terms: -150 = -6x + -6(11 + -3x) -150 = -6x + (11 * -6 + -3x * -6) -150 = -6x + (-66 + 18x) Reorder the terms: -150 = -66 + -6x + 18x Combine like terms: -6x + 18x = 12x -150 = -66 + 12x Solving -150 = -66 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -150 + -12x = -66 + 12x + -12x Combine like terms: 12x + -12x = 0 -150 + -12x = -66 + 0 -150 + -12x = -66 Add '150' to each side of the equation. -150 + 150 + -12x = -66 + 150 Combine like terms: -150 + 150 = 0 0 + -12x = -66 + 150 -12x = -66 + 150 Combine like terms: -66 + 150 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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