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Simplifying -4(-3) + -1(6x + -8) + 7 = 5x + -18 Multiply -4 * -3 12 + -1(6x + -8) + 7 = 5x + -18 Reorder the terms: 12 + -1(-8 + 6x) + 7 = 5x + -18 12 + (-8 * -1 + 6x * -1) + 7 = 5x + -18 12 + (8 + -6x) + 7 = 5x + -18 Reorder the terms: 12 + 8 + 7 + -6x = 5x + -18 Combine like terms: 12 + 8 = 20 20 + 7 + -6x = 5x + -18 Combine like terms: 20 + 7 = 27 27 + -6x = 5x + -18 Reorder the terms: 27 + -6x = -18 + 5x Solving 27 + -6x = -18 + 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. 27 + -6x + -5x = -18 + 5x + -5x Combine like terms: -6x + -5x = -11x 27 + -11x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -11x = -18 + 0 27 + -11x = -18 Add '-27' to each side of the equation. 27 + -27 + -11x = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -11x = -18 + -27 -11x = -18 + -27 Combine like terms: -18 + -27 = -45 -11x = -45 Divide each side by '-11'. x = 4.090909091 Simplifying x = 4.090909091
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