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Simplifying 8(x + -4) + -2 = 6x + -3x + 1 Reorder the terms: 8(-4 + x) + -2 = 6x + -3x + 1 (-4 * 8 + x * 8) + -2 = 6x + -3x + 1 (-32 + 8x) + -2 = 6x + -3x + 1 Reorder the terms: -32 + -2 + 8x = 6x + -3x + 1 Combine like terms: -32 + -2 = -34 -34 + 8x = 6x + -3x + 1 Reorder the terms: -34 + 8x = 1 + 6x + -3x Combine like terms: 6x + -3x = 3x -34 + 8x = 1 + 3x Solving -34 + 8x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -34 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x -34 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -34 + 5x = 1 + 0 -34 + 5x = 1 Add '34' to each side of the equation. -34 + 34 + 5x = 1 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = 1 + 34 5x = 1 + 34 Combine like terms: 1 + 34 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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