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Simplifying -5(2x + 3) = 3(11 + -4x) + -58 Reorder the terms: -5(3 + 2x) = 3(11 + -4x) + -58 (3 * -5 + 2x * -5) = 3(11 + -4x) + -58 (-15 + -10x) = 3(11 + -4x) + -58 -15 + -10x = (11 * 3 + -4x * 3) + -58 -15 + -10x = (33 + -12x) + -58 Reorder the terms: -15 + -10x = 33 + -58 + -12x Combine like terms: 33 + -58 = -25 -15 + -10x = -25 + -12x Solving -15 + -10x = -25 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + -10x + 12x = -25 + -12x + 12x Combine like terms: -10x + 12x = 2x -15 + 2x = -25 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + 2x = -25 + 0 -15 + 2x = -25 Add '15' to each side of the equation. -15 + 15 + 2x = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -25 + 15 2x = -25 + 15 Combine like terms: -25 + 15 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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