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Simplifying 4x + -8 = 2(x + 3) + 10 Reorder the terms: -8 + 4x = 2(x + 3) + 10 Reorder the terms: -8 + 4x = 2(3 + x) + 10 -8 + 4x = (3 * 2 + x * 2) + 10 -8 + 4x = (6 + 2x) + 10 Reorder the terms: -8 + 4x = 6 + 10 + 2x Combine like terms: 6 + 10 = 16 -8 + 4x = 16 + 2x Solving -8 + 4x = 16 + 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 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 16 + 0 -8 + 2x = 16 Add '8' to each side of the equation. -8 + 8 + 2x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 16 + 8 2x = 16 + 8 Combine like terms: 16 + 8 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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