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Simplifying 5(x + -4) + -9 = 3 + -2(x + 16) Reorder the terms: 5(-4 + x) + -9 = 3 + -2(x + 16) (-4 * 5 + x * 5) + -9 = 3 + -2(x + 16) (-20 + 5x) + -9 = 3 + -2(x + 16) Reorder the terms: -20 + -9 + 5x = 3 + -2(x + 16) Combine like terms: -20 + -9 = -29 -29 + 5x = 3 + -2(x + 16) Reorder the terms: -29 + 5x = 3 + -2(16 + x) -29 + 5x = 3 + (16 * -2 + x * -2) -29 + 5x = 3 + (-32 + -2x) Combine like terms: 3 + -32 = -29 -29 + 5x = -29 + -2x Add '29' to each side of the equation. -29 + 29 + 5x = -29 + 29 + -2x Combine like terms: -29 + 29 = 0 0 + 5x = -29 + 29 + -2x 5x = -29 + 29 + -2x Combine like terms: -29 + 29 = 0 5x = 0 + -2x 5x = -2x Solving 5x = -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. 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 7x = -2x + 2x Combine like terms: -2x + 2x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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