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Simplifying 84 + -1(4x + 15) = 4(x + 6) + x Reorder the terms: 84 + -1(15 + 4x) = 4(x + 6) + x 84 + (15 * -1 + 4x * -1) = 4(x + 6) + x 84 + (-15 + -4x) = 4(x + 6) + x Combine like terms: 84 + -15 = 69 69 + -4x = 4(x + 6) + x Reorder the terms: 69 + -4x = 4(6 + x) + x 69 + -4x = (6 * 4 + x * 4) + x 69 + -4x = (24 + 4x) + x Combine like terms: 4x + x = 5x 69 + -4x = 24 + 5x Solving 69 + -4x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 69 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x 69 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 69 + -9x = 24 + 0 69 + -9x = 24 Add '-69' to each side of the equation. 69 + -69 + -9x = 24 + -69 Combine like terms: 69 + -69 = 0 0 + -9x = 24 + -69 -9x = 24 + -69 Combine like terms: 24 + -69 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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