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Simplifying (4x + -16) + -1(9x + -45) = 4 Reorder the terms: (-16 + 4x) + -1(9x + -45) = 4 Remove parenthesis around (-16 + 4x) -16 + 4x + -1(9x + -45) = 4 Reorder the terms: -16 + 4x + -1(-45 + 9x) = 4 -16 + 4x + (-45 * -1 + 9x * -1) = 4 -16 + 4x + (45 + -9x) = 4 Reorder the terms: -16 + 45 + 4x + -9x = 4 Combine like terms: -16 + 45 = 29 29 + 4x + -9x = 4 Combine like terms: 4x + -9x = -5x 29 + -5x = 4 Solving 29 + -5x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -5x = 4 + -29 Combine like terms: 29 + -29 = 0 0 + -5x = 4 + -29 -5x = 4 + -29 Combine like terms: 4 + -29 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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