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Simplifying 3(2x + -5) = 6 + -4(x + -8) Reorder the terms: 3(-5 + 2x) = 6 + -4(x + -8) (-5 * 3 + 2x * 3) = 6 + -4(x + -8) (-15 + 6x) = 6 + -4(x + -8) Reorder the terms: -15 + 6x = 6 + -4(-8 + x) -15 + 6x = 6 + (-8 * -4 + x * -4) -15 + 6x = 6 + (32 + -4x) Combine like terms: 6 + 32 = 38 -15 + 6x = 38 + -4x Solving -15 + 6x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 6x + 4x = 38 + -4x + 4x Combine like terms: 6x + 4x = 10x -15 + 10x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 10x = 38 + 0 -15 + 10x = 38 Add '15' to each side of the equation. -15 + 15 + 10x = 38 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 38 + 15 10x = 38 + 15 Combine like terms: 38 + 15 = 53 10x = 53 Divide each side by '10'. x = 5.3 Simplifying x = 5.3
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