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Simplifying 2[4(5x + -2) + -3(2x + -7)] = 6x + -84 Reorder the terms: 2[4(-2 + 5x) + -3(2x + -7)] = 6x + -84 2[(-2 * 4 + 5x * 4) + -3(2x + -7)] = 6x + -84 2[(-8 + 20x) + -3(2x + -7)] = 6x + -84 Reorder the terms: 2[-8 + 20x + -3(-7 + 2x)] = 6x + -84 2[-8 + 20x + (-7 * -3 + 2x * -3)] = 6x + -84 2[-8 + 20x + (21 + -6x)] = 6x + -84 Reorder the terms: 2[-8 + 21 + 20x + -6x] = 6x + -84 Combine like terms: -8 + 21 = 13 2[13 + 20x + -6x] = 6x + -84 Combine like terms: 20x + -6x = 14x 2[13 + 14x] = 6x + -84 [13 * 2 + 14x * 2] = 6x + -84 [26 + 28x] = 6x + -84 Reorder the terms: 26 + 28x = -84 + 6x Solving 26 + 28x = -84 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 26 + 28x + -6x = -84 + 6x + -6x Combine like terms: 28x + -6x = 22x 26 + 22x = -84 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + 22x = -84 + 0 26 + 22x = -84 Add '-26' to each side of the equation. 26 + -26 + 22x = -84 + -26 Combine like terms: 26 + -26 = 0 0 + 22x = -84 + -26 22x = -84 + -26 Combine like terms: -84 + -26 = -110 22x = -110 Divide each side by '22'. x = -5 Simplifying x = -5
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