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Simplifying 84 = 4 + 5(3x + -5) Reorder the terms: 84 = 4 + 5(-5 + 3x) 84 = 4 + (-5 * 5 + 3x * 5) 84 = 4 + (-25 + 15x) Combine like terms: 4 + -25 = -21 84 = -21 + 15x Solving 84 = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 84 + -15x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 84 + -15x = -21 + 0 84 + -15x = -21 Add '-84' to each side of the equation. 84 + -84 + -15x = -21 + -84 Combine like terms: 84 + -84 = 0 0 + -15x = -21 + -84 -15x = -21 + -84 Combine like terms: -21 + -84 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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