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Simplifying 8x + -3(x + -1) = 5(2x + -1) + -4x Reorder the terms: 8x + -3(-1 + x) = 5(2x + -1) + -4x 8x + (-1 * -3 + x * -3) = 5(2x + -1) + -4x 8x + (3 + -3x) = 5(2x + -1) + -4x Reorder the terms: 3 + 8x + -3x = 5(2x + -1) + -4x Combine like terms: 8x + -3x = 5x 3 + 5x = 5(2x + -1) + -4x Reorder the terms: 3 + 5x = 5(-1 + 2x) + -4x 3 + 5x = (-1 * 5 + 2x * 5) + -4x 3 + 5x = (-5 + 10x) + -4x Combine like terms: 10x + -4x = 6x 3 + 5x = -5 + 6x Solving 3 + 5x = -5 + 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. 3 + 5x + -6x = -5 + 6x + -6x Combine like terms: 5x + -6x = -1x 3 + -1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -1x = -5 + 0 3 + -1x = -5 Add '-3' to each side of the equation. 3 + -3 + -1x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -5 + -3 -1x = -5 + -3 Combine like terms: -5 + -3 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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