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Simplifying -2(4x + 5) + -2(3x + 3) = -58 Reorder the terms: -2(5 + 4x) + -2(3x + 3) = -58 (5 * -2 + 4x * -2) + -2(3x + 3) = -58 (-10 + -8x) + -2(3x + 3) = -58 Reorder the terms: -10 + -8x + -2(3 + 3x) = -58 -10 + -8x + (3 * -2 + 3x * -2) = -58 -10 + -8x + (-6 + -6x) = -58 Reorder the terms: -10 + -6 + -8x + -6x = -58 Combine like terms: -10 + -6 = -16 -16 + -8x + -6x = -58 Combine like terms: -8x + -6x = -14x -16 + -14x = -58 Solving -16 + -14x = -58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -14x = -58 + 16 Combine like terms: -16 + 16 = 0 0 + -14x = -58 + 16 -14x = -58 + 16 Combine like terms: -58 + 16 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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