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Simplifying -58 = -5x + 6(-1x + 5) Reorder the terms: -58 = -5x + 6(5 + -1x) -58 = -5x + (5 * 6 + -1x * 6) -58 = -5x + (30 + -6x) Reorder the terms: -58 = 30 + -5x + -6x Combine like terms: -5x + -6x = -11x -58 = 30 + -11x Solving -58 = 30 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -58 + 11x = 30 + -11x + 11x Combine like terms: -11x + 11x = 0 -58 + 11x = 30 + 0 -58 + 11x = 30 Add '58' to each side of the equation. -58 + 58 + 11x = 30 + 58 Combine like terms: -58 + 58 = 0 0 + 11x = 30 + 58 11x = 30 + 58 Combine like terms: 30 + 58 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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