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Simplifying 5 + -3(2x + -4) = 3x + -2 Reorder the terms: 5 + -3(-4 + 2x) = 3x + -2 5 + (-4 * -3 + 2x * -3) = 3x + -2 5 + (12 + -6x) = 3x + -2 Combine like terms: 5 + 12 = 17 17 + -6x = 3x + -2 Reorder the terms: 17 + -6x = -2 + 3x Solving 17 + -6x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + -6x + -3x = -2 + 3x + -3x Combine like terms: -6x + -3x = -9x 17 + -9x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -9x = -2 + 0 17 + -9x = -2 Add '-17' to each side of the equation. 17 + -17 + -9x = -2 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = -2 + -17 -9x = -2 + -17 Combine like terms: -2 + -17 = -19 -9x = -19 Divide each side by '-9'. x = 2.111111111 Simplifying x = 2.111111111
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