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Simplifying 3x + 5 = -6(x + -2) Reorder the terms: 5 + 3x = -6(x + -2) Reorder the terms: 5 + 3x = -6(-2 + x) 5 + 3x = (-2 * -6 + x * -6) 5 + 3x = (12 + -6x) Solving 5 + 3x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x 5 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 9x = 12 + 0 5 + 9x = 12 Add '-5' to each side of the equation. 5 + -5 + 9x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 12 + -5 9x = 12 + -5 Combine like terms: 12 + -5 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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