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Simplifying 84 + -19x = -7(60 + x) 84 + -19x = (60 * -7 + x * -7) 84 + -19x = (-420 + -7x) Solving 84 + -19x = -420 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 84 + -19x + 7x = -420 + -7x + 7x Combine like terms: -19x + 7x = -12x 84 + -12x = -420 + -7x + 7x Combine like terms: -7x + 7x = 0 84 + -12x = -420 + 0 84 + -12x = -420 Add '-84' to each side of the equation. 84 + -84 + -12x = -420 + -84 Combine like terms: 84 + -84 = 0 0 + -12x = -420 + -84 -12x = -420 + -84 Combine like terms: -420 + -84 = -504 -12x = -504 Divide each side by '-12'. x = 42 Simplifying x = 42
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