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Simplifying 10x + -8 = 3(2x + 4) Reorder the terms: -8 + 10x = 3(2x + 4) Reorder the terms: -8 + 10x = 3(4 + 2x) -8 + 10x = (4 * 3 + 2x * 3) -8 + 10x = (12 + 6x) Solving -8 + 10x = 12 + 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. -8 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x -8 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 4x = 12 + 0 -8 + 4x = 12 Add '8' to each side of the equation. -8 + 8 + 4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 12 + 8 4x = 12 + 8 Combine like terms: 12 + 8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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