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Simplifying 6(4x + 1) + -2(5x + -3) = -58 Reorder the terms: 6(1 + 4x) + -2(5x + -3) = -58 (1 * 6 + 4x * 6) + -2(5x + -3) = -58 (6 + 24x) + -2(5x + -3) = -58 Reorder the terms: 6 + 24x + -2(-3 + 5x) = -58 6 + 24x + (-3 * -2 + 5x * -2) = -58 6 + 24x + (6 + -10x) = -58 Reorder the terms: 6 + 6 + 24x + -10x = -58 Combine like terms: 6 + 6 = 12 12 + 24x + -10x = -58 Combine like terms: 24x + -10x = 14x 12 + 14x = -58 Solving 12 + 14x = -58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14x = -58 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -58 + -12 14x = -58 + -12 Combine like terms: -58 + -12 = -70 14x = -70 Divide each side by '14'. x = -5 Simplifying x = -5
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