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Simplifying -58 = 5(4x + -2) + 4x Reorder the terms: -58 = 5(-2 + 4x) + 4x -58 = (-2 * 5 + 4x * 5) + 4x -58 = (-10 + 20x) + 4x Combine like terms: 20x + 4x = 24x -58 = -10 + 24x Solving -58 = -10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -58 + -24x = -10 + 24x + -24x Combine like terms: 24x + -24x = 0 -58 + -24x = -10 + 0 -58 + -24x = -10 Add '58' to each side of the equation. -58 + 58 + -24x = -10 + 58 Combine like terms: -58 + 58 = 0 0 + -24x = -10 + 58 -24x = -10 + 58 Combine like terms: -10 + 58 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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