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Simplifying -84 = 4x + 4(-6x + 14) Reorder the terms: -84 = 4x + 4(14 + -6x) -84 = 4x + (14 * 4 + -6x * 4) -84 = 4x + (56 + -24x) Reorder the terms: -84 = 56 + 4x + -24x Combine like terms: 4x + -24x = -20x -84 = 56 + -20x Solving -84 = 56 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -84 + 20x = 56 + -20x + 20x Combine like terms: -20x + 20x = 0 -84 + 20x = 56 + 0 -84 + 20x = 56 Add '84' to each side of the equation. -84 + 84 + 20x = 56 + 84 Combine like terms: -84 + 84 = 0 0 + 20x = 56 + 84 20x = 56 + 84 Combine like terms: 56 + 84 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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