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Simplifying 2 + 5(x + -8) = 4 + -3(x + -4) Reorder the terms: 2 + 5(-8 + x) = 4 + -3(x + -4) 2 + (-8 * 5 + x * 5) = 4 + -3(x + -4) 2 + (-40 + 5x) = 4 + -3(x + -4) Combine like terms: 2 + -40 = -38 -38 + 5x = 4 + -3(x + -4) Reorder the terms: -38 + 5x = 4 + -3(-4 + x) -38 + 5x = 4 + (-4 * -3 + x * -3) -38 + 5x = 4 + (12 + -3x) Combine like terms: 4 + 12 = 16 -38 + 5x = 16 + -3x Solving -38 + 5x = 16 + -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. -38 + 5x + 3x = 16 + -3x + 3x Combine like terms: 5x + 3x = 8x -38 + 8x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 8x = 16 + 0 -38 + 8x = 16 Add '38' to each side of the equation. -38 + 38 + 8x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 16 + 38 8x = 16 + 38 Combine like terms: 16 + 38 = 54 8x = 54 Divide each side by '8'. x = 6.75 Simplifying x = 6.75
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