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Simplifying 84 = x + -5(6 + 4x) 84 = x + (6 * -5 + 4x * -5) 84 = x + (-30 + -20x) Reorder the terms: 84 = -30 + x + -20x Combine like terms: x + -20x = -19x 84 = -30 + -19x Solving 84 = -30 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 84 + 19x = -30 + -19x + 19x Combine like terms: -19x + 19x = 0 84 + 19x = -30 + 0 84 + 19x = -30 Add '-84' to each side of the equation. 84 + -84 + 19x = -30 + -84 Combine like terms: 84 + -84 = 0 0 + 19x = -30 + -84 19x = -30 + -84 Combine like terms: -30 + -84 = -114 19x = -114 Divide each side by '19'. x = -6 Simplifying x = -6
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