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Simplifying -133 = -8 + 5(4x + 7) Reorder the terms: -133 = -8 + 5(7 + 4x) -133 = -8 + (7 * 5 + 4x * 5) -133 = -8 + (35 + 20x) Combine like terms: -8 + 35 = 27 -133 = 27 + 20x Solving -133 = 27 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -133 + -20x = 27 + 20x + -20x Combine like terms: 20x + -20x = 0 -133 + -20x = 27 + 0 -133 + -20x = 27 Add '133' to each side of the equation. -133 + 133 + -20x = 27 + 133 Combine like terms: -133 + 133 = 0 0 + -20x = 27 + 133 -20x = 27 + 133 Combine like terms: 27 + 133 = 160 -20x = 160 Divide each side by '-20'. x = -8 Simplifying x = -8
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