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Simplifying 4x + -10 = 12 + 2(x + 8) Reorder the terms: -10 + 4x = 12 + 2(x + 8) Reorder the terms: -10 + 4x = 12 + 2(8 + x) -10 + 4x = 12 + (8 * 2 + x * 2) -10 + 4x = 12 + (16 + 2x) Combine like terms: 12 + 16 = 28 -10 + 4x = 28 + 2x Solving -10 + 4x = 28 + 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. -10 + 4x + -2x = 28 + 2x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 2x = 28 + 0 -10 + 2x = 28 Add '10' to each side of the equation. -10 + 10 + 2x = 28 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 28 + 10 2x = 28 + 10 Combine like terms: 28 + 10 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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