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Simplifying 5 + 2(3x + -8) = 2x + 9 Reorder the terms: 5 + 2(-8 + 3x) = 2x + 9 5 + (-8 * 2 + 3x * 2) = 2x + 9 5 + (-16 + 6x) = 2x + 9 Combine like terms: 5 + -16 = -11 -11 + 6x = 2x + 9 Reorder the terms: -11 + 6x = 9 + 2x Solving -11 + 6x = 9 + 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. -11 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x -11 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 4x = 9 + 0 -11 + 4x = 9 Add '11' to each side of the equation. -11 + 11 + 4x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 9 + 11 4x = 9 + 11 Combine like terms: 9 + 11 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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