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Simplifying 6(1 + -2x) + -3x = -84 (1 * 6 + -2x * 6) + -3x = -84 (6 + -12x) + -3x = -84 Combine like terms: -12x + -3x = -15x 6 + -15x = -84 Solving 6 + -15x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -15x = -84 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -84 + -6 -15x = -84 + -6 Combine like terms: -84 + -6 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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