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Simplifying 3x + -4(x + 5) = 3x + 8 Reorder the terms: 3x + -4(5 + x) = 3x + 8 3x + (5 * -4 + x * -4) = 3x + 8 3x + (-20 + -4x) = 3x + 8 Reorder the terms: -20 + 3x + -4x = 3x + 8 Combine like terms: 3x + -4x = -1x -20 + -1x = 3x + 8 Reorder the terms: -20 + -1x = 8 + 3x Solving -20 + -1x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + -1x + -3x = 8 + 3x + -3x Combine like terms: -1x + -3x = -4x -20 + -4x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -4x = 8 + 0 -20 + -4x = 8 Add '20' to each side of the equation. -20 + 20 + -4x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 8 + 20 -4x = 8 + 20 Combine like terms: 8 + 20 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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