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Simplifying 2(-3x + -8) + 3(1 + 5x) = -58 Reorder the terms: 2(-8 + -3x) + 3(1 + 5x) = -58 (-8 * 2 + -3x * 2) + 3(1 + 5x) = -58 (-16 + -6x) + 3(1 + 5x) = -58 -16 + -6x + (1 * 3 + 5x * 3) = -58 -16 + -6x + (3 + 15x) = -58 Reorder the terms: -16 + 3 + -6x + 15x = -58 Combine like terms: -16 + 3 = -13 -13 + -6x + 15x = -58 Combine like terms: -6x + 15x = 9x -13 + 9x = -58 Solving -13 + 9x = -58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9x = -58 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = -58 + 13 9x = -58 + 13 Combine like terms: -58 + 13 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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