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Simplifying 3x + -4 + 5x = 6(x + -8) Reorder the terms: -4 + 3x + 5x = 6(x + -8) Combine like terms: 3x + 5x = 8x -4 + 8x = 6(x + -8) Reorder the terms: -4 + 8x = 6(-8 + x) -4 + 8x = (-8 * 6 + x * 6) -4 + 8x = (-48 + 6x) Solving -4 + 8x = -48 + 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 + 8x + -6x = -48 + 6x + -6x Combine like terms: 8x + -6x = 2x -4 + 2x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 2x = -48 + 0 -4 + 2x = -48 Add '4' to each side of the equation. -4 + 4 + 2x = -48 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -48 + 4 2x = -48 + 4 Combine like terms: -48 + 4 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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