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Simplifying 4 + 4(x + -5) = 5 + -2(x + -9) Reorder the terms: 4 + 4(-5 + x) = 5 + -2(x + -9) 4 + (-5 * 4 + x * 4) = 5 + -2(x + -9) 4 + (-20 + 4x) = 5 + -2(x + -9) Combine like terms: 4 + -20 = -16 -16 + 4x = 5 + -2(x + -9) Reorder the terms: -16 + 4x = 5 + -2(-9 + x) -16 + 4x = 5 + (-9 * -2 + x * -2) -16 + 4x = 5 + (18 + -2x) Combine like terms: 5 + 18 = 23 -16 + 4x = 23 + -2x Solving -16 + 4x = 23 + -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. -16 + 4x + 2x = 23 + -2x + 2x Combine like terms: 4x + 2x = 6x -16 + 6x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 6x = 23 + 0 -16 + 6x = 23 Add '16' to each side of the equation. -16 + 16 + 6x = 23 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 23 + 16 6x = 23 + 16 Combine like terms: 23 + 16 = 39 6x = 39 Divide each side by '6'. x = 6.5 Simplifying x = 6.5
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