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Simplifying 5(2x + 8) = -4(x + -3) Reorder the terms: 5(8 + 2x) = -4(x + -3) (8 * 5 + 2x * 5) = -4(x + -3) (40 + 10x) = -4(x + -3) Reorder the terms: 40 + 10x = -4(-3 + x) 40 + 10x = (-3 * -4 + x * -4) 40 + 10x = (12 + -4x) Solving 40 + 10x = 12 + -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. 40 + 10x + 4x = 12 + -4x + 4x Combine like terms: 10x + 4x = 14x 40 + 14x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + 14x = 12 + 0 40 + 14x = 12 Add '-40' to each side of the equation. 40 + -40 + 14x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 14x = 12 + -40 14x = 12 + -40 Combine like terms: 12 + -40 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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