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Simplifying 5(x + -9) + 2x = 3(x + -8) Reorder the terms: 5(-9 + x) + 2x = 3(x + -8) (-9 * 5 + x * 5) + 2x = 3(x + -8) (-45 + 5x) + 2x = 3(x + -8) Combine like terms: 5x + 2x = 7x -45 + 7x = 3(x + -8) Reorder the terms: -45 + 7x = 3(-8 + x) -45 + 7x = (-8 * 3 + x * 3) -45 + 7x = (-24 + 3x) Solving -45 + 7x = -24 + 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. -45 + 7x + -3x = -24 + 3x + -3x Combine like terms: 7x + -3x = 4x -45 + 4x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 4x = -24 + 0 -45 + 4x = -24 Add '45' to each side of the equation. -45 + 45 + 4x = -24 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = -24 + 45 4x = -24 + 45 Combine like terms: -24 + 45 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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