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Simplifying 4x + -2(3x + -8) = 10 + -2(X + 3) Reorder the terms: 4x + -2(-8 + 3x) = 10 + -2(X + 3) 4x + (-8 * -2 + 3x * -2) = 10 + -2(X + 3) 4x + (16 + -6x) = 10 + -2(X + 3) Reorder the terms: 16 + 4x + -6x = 10 + -2(X + 3) Combine like terms: 4x + -6x = -2x 16 + -2x = 10 + -2(X + 3) Reorder the terms: 16 + -2x = 10 + -2(3 + X) 16 + -2x = 10 + (3 * -2 + X * -2) 16 + -2x = 10 + (-6 + -2X) Combine like terms: 10 + -6 = 4 16 + -2x = 4 + -2X Solving 16 + -2x = 4 + -2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2x = 4 + -16 + -2X Combine like terms: 16 + -16 = 0 0 + -2x = 4 + -16 + -2X -2x = 4 + -16 + -2X Combine like terms: 4 + -16 = -12 -2x = -12 + -2X Divide each side by '-2'. x = 6 + X Simplifying x = 6 + X
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