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Simplifying 9 + 4(x + -3) = 5 + -2(x + -5) Reorder the terms: 9 + 4(-3 + x) = 5 + -2(x + -5) 9 + (-3 * 4 + x * 4) = 5 + -2(x + -5) 9 + (-12 + 4x) = 5 + -2(x + -5) Combine like terms: 9 + -12 = -3 -3 + 4x = 5 + -2(x + -5) Reorder the terms: -3 + 4x = 5 + -2(-5 + x) -3 + 4x = 5 + (-5 * -2 + x * -2) -3 + 4x = 5 + (10 + -2x) Combine like terms: 5 + 10 = 15 -3 + 4x = 15 + -2x Solving -3 + 4x = 15 + -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. -3 + 4x + 2x = 15 + -2x + 2x Combine like terms: 4x + 2x = 6x -3 + 6x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 6x = 15 + 0 -3 + 6x = 15 Add '3' to each side of the equation. -3 + 3 + 6x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 15 + 3 6x = 15 + 3 Combine like terms: 15 + 3 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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