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Simplifying 58 = 3x + -2(4x + -9) Reorder the terms: 58 = 3x + -2(-9 + 4x) 58 = 3x + (-9 * -2 + 4x * -2) 58 = 3x + (18 + -8x) Reorder the terms: 58 = 18 + 3x + -8x Combine like terms: 3x + -8x = -5x 58 = 18 + -5x Solving 58 = 18 + -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. 58 + 5x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 58 + 5x = 18 + 0 58 + 5x = 18 Add '-58' to each side of the equation. 58 + -58 + 5x = 18 + -58 Combine like terms: 58 + -58 = 0 0 + 5x = 18 + -58 5x = 18 + -58 Combine like terms: 18 + -58 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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