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Simplifying 84 = 6x + 7(-4x + -10) Reorder the terms: 84 = 6x + 7(-10 + -4x) 84 = 6x + (-10 * 7 + -4x * 7) 84 = 6x + (-70 + -28x) Reorder the terms: 84 = -70 + 6x + -28x Combine like terms: 6x + -28x = -22x 84 = -70 + -22x Solving 84 = -70 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 84 + 22x = -70 + -22x + 22x Combine like terms: -22x + 22x = 0 84 + 22x = -70 + 0 84 + 22x = -70 Add '-84' to each side of the equation. 84 + -84 + 22x = -70 + -84 Combine like terms: 84 + -84 = 0 0 + 22x = -70 + -84 22x = -70 + -84 Combine like terms: -70 + -84 = -154 22x = -154 Divide each side by '22'. x = -7 Simplifying x = -7
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