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Simplifying 4x + -2(x + 5) = -8 + 4x + 12 Reorder the terms: 4x + -2(5 + x) = -8 + 4x + 12 4x + (5 * -2 + x * -2) = -8 + 4x + 12 4x + (-10 + -2x) = -8 + 4x + 12 Reorder the terms: -10 + 4x + -2x = -8 + 4x + 12 Combine like terms: 4x + -2x = 2x -10 + 2x = -8 + 4x + 12 Reorder the terms: -10 + 2x = -8 + 12 + 4x Combine like terms: -8 + 12 = 4 -10 + 2x = 4 + 4x Solving -10 + 2x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 2x + -4x = 4 + 4x + -4x Combine like terms: 2x + -4x = -2x -10 + -2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -2x = 4 + 0 -10 + -2x = 4 Add '10' to each side of the equation. -10 + 10 + -2x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 4 + 10 -2x = 4 + 10 Combine like terms: 4 + 10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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