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Simplifying -2(5x + 3) = 4(x + 16) Reorder the terms: -2(3 + 5x) = 4(x + 16) (3 * -2 + 5x * -2) = 4(x + 16) (-6 + -10x) = 4(x + 16) Reorder the terms: -6 + -10x = 4(16 + x) -6 + -10x = (16 * 4 + x * 4) -6 + -10x = (64 + 4x) Solving -6 + -10x = 64 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -10x + -4x = 64 + 4x + -4x Combine like terms: -10x + -4x = -14x -6 + -14x = 64 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -14x = 64 + 0 -6 + -14x = 64 Add '6' to each side of the equation. -6 + 6 + -14x = 64 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 64 + 6 -14x = 64 + 6 Combine like terms: 64 + 6 = 70 -14x = 70 Divide each side by '-14'. x = -5 Simplifying x = -5
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