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Simplifying 2x + 8(x + -3) = 4x + 5(x + -9) Reorder the terms: 2x + 8(-3 + x) = 4x + 5(x + -9) 2x + (-3 * 8 + x * 8) = 4x + 5(x + -9) 2x + (-24 + 8x) = 4x + 5(x + -9) Reorder the terms: -24 + 2x + 8x = 4x + 5(x + -9) Combine like terms: 2x + 8x = 10x -24 + 10x = 4x + 5(x + -9) Reorder the terms: -24 + 10x = 4x + 5(-9 + x) -24 + 10x = 4x + (-9 * 5 + x * 5) -24 + 10x = 4x + (-45 + 5x) Reorder the terms: -24 + 10x = -45 + 4x + 5x Combine like terms: 4x + 5x = 9x -24 + 10x = -45 + 9x Solving -24 + 10x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 10x + -9x = -45 + 9x + -9x Combine like terms: 10x + -9x = 1x -24 + 1x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 1x = -45 + 0 -24 + 1x = -45 Add '24' to each side of the equation. -24 + 24 + 1x = -45 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -45 + 24 1x = -45 + 24 Combine like terms: -45 + 24 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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