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Simplifying 9x + -2(3x + -4) = 2x + 9 Reorder the terms: 9x + -2(-4 + 3x) = 2x + 9 9x + (-4 * -2 + 3x * -2) = 2x + 9 9x + (8 + -6x) = 2x + 9 Reorder the terms: 8 + 9x + -6x = 2x + 9 Combine like terms: 9x + -6x = 3x 8 + 3x = 2x + 9 Reorder the terms: 8 + 3x = 9 + 2x Solving 8 + 3x = 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. 8 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 8 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 1x = 9 + 0 8 + 1x = 9 Add '-8' to each side of the equation. 8 + -8 + 1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 9 + -8 1x = 9 + -8 Combine like terms: 9 + -8 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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