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Simplifying 5(2x + 3) + -2(3x + -1) = 84 Reorder the terms: 5(3 + 2x) + -2(3x + -1) = 84 (3 * 5 + 2x * 5) + -2(3x + -1) = 84 (15 + 10x) + -2(3x + -1) = 84 Reorder the terms: 15 + 10x + -2(-1 + 3x) = 84 15 + 10x + (-1 * -2 + 3x * -2) = 84 15 + 10x + (2 + -6x) = 84 Reorder the terms: 15 + 2 + 10x + -6x = 84 Combine like terms: 15 + 2 = 17 17 + 10x + -6x = 84 Combine like terms: 10x + -6x = 4x 17 + 4x = 84 Solving 17 + 4x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = 84 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 84 + -17 4x = 84 + -17 Combine like terms: 84 + -17 = 67 4x = 67 Divide each side by '4'. x = 16.75 Simplifying x = 16.75
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