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Simplifying 5 + -2(3x + 2) = 9 + -2x Reorder the terms: 5 + -2(2 + 3x) = 9 + -2x 5 + (2 * -2 + 3x * -2) = 9 + -2x 5 + (-4 + -6x) = 9 + -2x Combine like terms: 5 + -4 = 1 1 + -6x = 9 + -2x Solving 1 + -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. 1 + -6x + 2x = 9 + -2x + 2x Combine like terms: -6x + 2x = -4x 1 + -4x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -4x = 9 + 0 1 + -4x = 9 Add '-1' to each side of the equation. 1 + -1 + -4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 9 + -1 -4x = 9 + -1 Combine like terms: 9 + -1 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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