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Simplifying 3x + -2 = 8(x + -2) + 4 Reorder the terms: -2 + 3x = 8(x + -2) + 4 Reorder the terms: -2 + 3x = 8(-2 + x) + 4 -2 + 3x = (-2 * 8 + x * 8) + 4 -2 + 3x = (-16 + 8x) + 4 Reorder the terms: -2 + 3x = -16 + 4 + 8x Combine like terms: -16 + 4 = -12 -2 + 3x = -12 + 8x Solving -2 + 3x = -12 + 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. -2 + 3x + -8x = -12 + 8x + -8x Combine like terms: 3x + -8x = -5x -2 + -5x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -5x = -12 + 0 -2 + -5x = -12 Add '2' to each side of the equation. -2 + 2 + -5x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -12 + 2 -5x = -12 + 2 Combine like terms: -12 + 2 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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