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Simplifying 4x + -2(2x + -8) = 2(2x + -8) + 9x Reorder the terms: 4x + -2(-8 + 2x) = 2(2x + -8) + 9x 4x + (-8 * -2 + 2x * -2) = 2(2x + -8) + 9x 4x + (16 + -4x) = 2(2x + -8) + 9x Reorder the terms: 16 + 4x + -4x = 2(2x + -8) + 9x Combine like terms: 4x + -4x = 0 16 + 0 = 2(2x + -8) + 9x 16 = 2(2x + -8) + 9x Reorder the terms: 16 = 2(-8 + 2x) + 9x 16 = (-8 * 2 + 2x * 2) + 9x 16 = (-16 + 4x) + 9x Combine like terms: 4x + 9x = 13x 16 = -16 + 13x Solving 16 = -16 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 16 + -13x = -16 + 13x + -13x Combine like terms: 13x + -13x = 0 16 + -13x = -16 + 0 16 + -13x = -16 Add '-16' to each side of the equation. 16 + -16 + -13x = -16 + -16 Combine like terms: 16 + -16 = 0 0 + -13x = -16 + -16 -13x = -16 + -16 Combine like terms: -16 + -16 = -32 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462
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