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Simplifying -58 = 5(x + -5) + -4(5 + -2x) Reorder the terms: -58 = 5(-5 + x) + -4(5 + -2x) -58 = (-5 * 5 + x * 5) + -4(5 + -2x) -58 = (-25 + 5x) + -4(5 + -2x) -58 = -25 + 5x + (5 * -4 + -2x * -4) -58 = -25 + 5x + (-20 + 8x) Reorder the terms: -58 = -25 + -20 + 5x + 8x Combine like terms: -25 + -20 = -45 -58 = -45 + 5x + 8x Combine like terms: 5x + 8x = 13x -58 = -45 + 13x Solving -58 = -45 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -58 + -13x = -45 + 13x + -13x Combine like terms: 13x + -13x = 0 -58 + -13x = -45 + 0 -58 + -13x = -45 Add '58' to each side of the equation. -58 + 58 + -13x = -45 + 58 Combine like terms: -58 + 58 = 0 0 + -13x = -45 + 58 -13x = -45 + 58 Combine like terms: -45 + 58 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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