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Simplifying 8x + 4(x + -1) = 3(2x + -5) Reorder the terms: 8x + 4(-1 + x) = 3(2x + -5) 8x + (-1 * 4 + x * 4) = 3(2x + -5) 8x + (-4 + 4x) = 3(2x + -5) Reorder the terms: -4 + 8x + 4x = 3(2x + -5) Combine like terms: 8x + 4x = 12x -4 + 12x = 3(2x + -5) Reorder the terms: -4 + 12x = 3(-5 + 2x) -4 + 12x = (-5 * 3 + 2x * 3) -4 + 12x = (-15 + 6x) Solving -4 + 12x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 12x + -6x = -15 + 6x + -6x Combine like terms: 12x + -6x = 6x -4 + 6x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 6x = -15 + 0 -4 + 6x = -15 Add '4' to each side of the equation. -4 + 4 + 6x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -15 + 4 6x = -15 + 4 Combine like terms: -15 + 4 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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