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Simplifying 3x + -4(5 + x) = x + 8 3x + (5 * -4 + x * -4) = x + 8 3x + (-20 + -4x) = x + 8 Reorder the terms: -20 + 3x + -4x = x + 8 Combine like terms: 3x + -4x = -1x -20 + -1x = x + 8 Reorder the terms: -20 + -1x = 8 + x Solving -20 + -1x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + -1x + -1x = 8 + x + -1x Combine like terms: -1x + -1x = -2x -20 + -2x = 8 + x + -1x Combine like terms: x + -1x = 0 -20 + -2x = 8 + 0 -20 + -2x = 8 Add '20' to each side of the equation. -20 + 20 + -2x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 8 + 20 -2x = 8 + 20 Combine like terms: 8 + 20 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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