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Simplifying 3x + 4(x + -5) = 9x + 16 Reorder the terms: 3x + 4(-5 + x) = 9x + 16 3x + (-5 * 4 + x * 4) = 9x + 16 3x + (-20 + 4x) = 9x + 16 Reorder the terms: -20 + 3x + 4x = 9x + 16 Combine like terms: 3x + 4x = 7x -20 + 7x = 9x + 16 Reorder the terms: -20 + 7x = 16 + 9x Solving -20 + 7x = 16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -20 + 7x + -9x = 16 + 9x + -9x Combine like terms: 7x + -9x = -2x -20 + -2x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -2x = 16 + 0 -20 + -2x = 16 Add '20' to each side of the equation. -20 + 20 + -2x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 16 + 20 -2x = 16 + 20 Combine like terms: 16 + 20 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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