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Simplifying 4(x + -5) = 9 + -2(x + 1) Reorder the terms: 4(-5 + x) = 9 + -2(x + 1) (-5 * 4 + x * 4) = 9 + -2(x + 1) (-20 + 4x) = 9 + -2(x + 1) Reorder the terms: -20 + 4x = 9 + -2(1 + x) -20 + 4x = 9 + (1 * -2 + x * -2) -20 + 4x = 9 + (-2 + -2x) Combine like terms: 9 + -2 = 7 -20 + 4x = 7 + -2x Solving -20 + 4x = 7 + -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. -20 + 4x + 2x = 7 + -2x + 2x Combine like terms: 4x + 2x = 6x -20 + 6x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 6x = 7 + 0 -20 + 6x = 7 Add '20' to each side of the equation. -20 + 20 + 6x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 7 + 20 6x = 7 + 20 Combine like terms: 7 + 20 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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