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Simplifying 7 + -3(2x + -4) = 5x + -2 Reorder the terms: 7 + -3(-4 + 2x) = 5x + -2 7 + (-4 * -3 + 2x * -3) = 5x + -2 7 + (12 + -6x) = 5x + -2 Combine like terms: 7 + 12 = 19 19 + -6x = 5x + -2 Reorder the terms: 19 + -6x = -2 + 5x Solving 19 + -6x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + -6x + -5x = -2 + 5x + -5x Combine like terms: -6x + -5x = -11x 19 + -11x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -11x = -2 + 0 19 + -11x = -2 Add '-19' to each side of the equation. 19 + -19 + -11x = -2 + -19 Combine like terms: 19 + -19 = 0 0 + -11x = -2 + -19 -11x = -2 + -19 Combine like terms: -2 + -19 = -21 -11x = -21 Divide each side by '-11'. x = 1.909090909 Simplifying x = 1.909090909
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