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Simplifying -30 + 8x = -3(1 + -5x) + 8 -30 + 8x = (1 * -3 + -5x * -3) + 8 -30 + 8x = (-3 + 15x) + 8 Reorder the terms: -30 + 8x = -3 + 8 + 15x Combine like terms: -3 + 8 = 5 -30 + 8x = 5 + 15x Solving -30 + 8x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -30 + 8x + -15x = 5 + 15x + -15x Combine like terms: 8x + -15x = -7x -30 + -7x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -30 + -7x = 5 + 0 -30 + -7x = 5 Add '30' to each side of the equation. -30 + 30 + -7x = 5 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = 5 + 30 -7x = 5 + 30 Combine like terms: 5 + 30 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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