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Simplifying 8 + -3(2x + -4) = 5 + 2x + -4x Reorder the terms: 8 + -3(-4 + 2x) = 5 + 2x + -4x 8 + (-4 * -3 + 2x * -3) = 5 + 2x + -4x 8 + (12 + -6x) = 5 + 2x + -4x Combine like terms: 8 + 12 = 20 20 + -6x = 5 + 2x + -4x Combine like terms: 2x + -4x = -2x 20 + -6x = 5 + -2x Solving 20 + -6x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + -6x + 2x = 5 + -2x + 2x Combine like terms: -6x + 2x = -4x 20 + -4x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + -4x = 5 + 0 20 + -4x = 5 Add '-20' to each side of the equation. 20 + -20 + -4x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 5 + -20 -4x = 5 + -20 Combine like terms: 5 + -20 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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