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Simplifying 5(x + -4) + -9 = -3(x + -2) Reorder the terms: 5(-4 + x) + -9 = -3(x + -2) (-4 * 5 + x * 5) + -9 = -3(x + -2) (-20 + 5x) + -9 = -3(x + -2) Reorder the terms: -20 + -9 + 5x = -3(x + -2) Combine like terms: -20 + -9 = -29 -29 + 5x = -3(x + -2) Reorder the terms: -29 + 5x = -3(-2 + x) -29 + 5x = (-2 * -3 + x * -3) -29 + 5x = (6 + -3x) Solving -29 + 5x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -29 + 5x + 3x = 6 + -3x + 3x Combine like terms: 5x + 3x = 8x -29 + 8x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -29 + 8x = 6 + 0 -29 + 8x = 6 Add '29' to each side of the equation. -29 + 29 + 8x = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = 6 + 29 8x = 6 + 29 Combine like terms: 6 + 29 = 35 8x = 35 Divide each side by '8'. x = 4.375 Simplifying x = 4.375
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