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Simplifying 84 = 4x + -7(-3x + 13) Reorder the terms: 84 = 4x + -7(13 + -3x) 84 = 4x + (13 * -7 + -3x * -7) 84 = 4x + (-91 + 21x) Reorder the terms: 84 = -91 + 4x + 21x Combine like terms: 4x + 21x = 25x 84 = -91 + 25x Solving 84 = -91 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 84 + -25x = -91 + 25x + -25x Combine like terms: 25x + -25x = 0 84 + -25x = -91 + 0 84 + -25x = -91 Add '-84' to each side of the equation. 84 + -84 + -25x = -91 + -84 Combine like terms: 84 + -84 = 0 0 + -25x = -91 + -84 -25x = -91 + -84 Combine like terms: -91 + -84 = -175 -25x = -175 Divide each side by '-25'. x = 7 Simplifying x = 7
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