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Simplifying 4 + -5(-3x + 1) = 8(x + -1) Reorder the terms: 4 + -5(1 + -3x) = 8(x + -1) 4 + (1 * -5 + -3x * -5) = 8(x + -1) 4 + (-5 + 15x) = 8(x + -1) Combine like terms: 4 + -5 = -1 -1 + 15x = 8(x + -1) Reorder the terms: -1 + 15x = 8(-1 + x) -1 + 15x = (-1 * 8 + x * 8) -1 + 15x = (-8 + 8x) Solving -1 + 15x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 15x + -8x = -8 + 8x + -8x Combine like terms: 15x + -8x = 7x -1 + 7x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 7x = -8 + 0 -1 + 7x = -8 Add '1' to each side of the equation. -1 + 1 + 7x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = -8 + 1 7x = -8 + 1 Combine like terms: -8 + 1 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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