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Simplifying 2(3x + 1) + -5(3x + 1) = 58 Reorder the terms: 2(1 + 3x) + -5(3x + 1) = 58 (1 * 2 + 3x * 2) + -5(3x + 1) = 58 (2 + 6x) + -5(3x + 1) = 58 Reorder the terms: 2 + 6x + -5(1 + 3x) = 58 2 + 6x + (1 * -5 + 3x * -5) = 58 2 + 6x + (-5 + -15x) = 58 Reorder the terms: 2 + -5 + 6x + -15x = 58 Combine like terms: 2 + -5 = -3 -3 + 6x + -15x = 58 Combine like terms: 6x + -15x = -9x -3 + -9x = 58 Solving -3 + -9x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -9x = 58 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 58 + 3 -9x = 58 + 3 Combine like terms: 58 + 3 = 61 -9x = 61 Divide each side by '-9'. x = -6.777777778 Simplifying x = -6.777777778
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