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Simplifying -58 = -3(1 + 5x) + -7(5 + -5x) -58 = (1 * -3 + 5x * -3) + -7(5 + -5x) -58 = (-3 + -15x) + -7(5 + -5x) -58 = -3 + -15x + (5 * -7 + -5x * -7) -58 = -3 + -15x + (-35 + 35x) Reorder the terms: -58 = -3 + -35 + -15x + 35x Combine like terms: -3 + -35 = -38 -58 = -38 + -15x + 35x Combine like terms: -15x + 35x = 20x -58 = -38 + 20x Solving -58 = -38 + 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. -58 + -20x = -38 + 20x + -20x Combine like terms: 20x + -20x = 0 -58 + -20x = -38 + 0 -58 + -20x = -38 Add '58' to each side of the equation. -58 + 58 + -20x = -38 + 58 Combine like terms: -58 + 58 = 0 0 + -20x = -38 + 58 -20x = -38 + 58 Combine like terms: -38 + 58 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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