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Simplifying 2(x + 3) + -7x + 4 = -84 + -6 Reorder the terms: 2(3 + x) + -7x + 4 = -84 + -6 (3 * 2 + x * 2) + -7x + 4 = -84 + -6 (6 + 2x) + -7x + 4 = -84 + -6 Reorder the terms: 6 + 4 + 2x + -7x = -84 + -6 Combine like terms: 6 + 4 = 10 10 + 2x + -7x = -84 + -6 Combine like terms: 2x + -7x = -5x 10 + -5x = -84 + -6 Combine like terms: -84 + -6 = -90 10 + -5x = -90 Solving 10 + -5x = -90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -5x = -90 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -90 + -10 -5x = -90 + -10 Combine like terms: -90 + -10 = -100 -5x = -100 Divide each side by '-5'. x = 20 Simplifying x = 20
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