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Simplifying 5(2X + -3) + -4x = 3(x + -8) + 63 Reorder the terms: 5(-3 + 2X) + -4x = 3(x + -8) + 63 (-3 * 5 + 2X * 5) + -4x = 3(x + -8) + 63 (-15 + 10X) + -4x = 3(x + -8) + 63 Reorder the terms: -15 + 10X + -4x = 3(-8 + x) + 63 -15 + 10X + -4x = (-8 * 3 + x * 3) + 63 -15 + 10X + -4x = (-24 + 3x) + 63 Reorder the terms: -15 + 10X + -4x = -24 + 63 + 3x Combine like terms: -24 + 63 = 39 -15 + 10X + -4x = 39 + 3x Solving -15 + 10X + -4x = 39 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 10X + 15 + -4x = 39 + 15 + 3x Reorder the terms: -15 + 15 + 10X + -4x = 39 + 15 + 3x Combine like terms: -15 + 15 = 0 0 + 10X + -4x = 39 + 15 + 3x 10X + -4x = 39 + 15 + 3x Combine like terms: 39 + 15 = 54 10X + -4x = 54 + 3x Add '4x' to each side of the equation. 10X + -4x + 4x = 54 + 3x + 4x Combine like terms: -4x + 4x = 0 10X + 0 = 54 + 3x + 4x 10X = 54 + 3x + 4x Combine like terms: 3x + 4x = 7x 10X = 54 + 7x Divide each side by '10'. X = 5.4 + 0.7x Simplifying X = 5.4 + 0.7x
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