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