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Simplifying 4(2x + 4) + -2(x + -4) = 3x + 60 + x Reorder the terms: 4(4 + 2x) + -2(x + -4) = 3x + 60 + x (4 * 4 + 2x * 4) + -2(x + -4) = 3x + 60 + x (16 + 8x) + -2(x + -4) = 3x + 60 + x Reorder the terms: 16 + 8x + -2(-4 + x) = 3x + 60 + x 16 + 8x + (-4 * -2 + x * -2) = 3x + 60 + x 16 + 8x + (8 + -2x) = 3x + 60 + x Reorder the terms: 16 + 8 + 8x + -2x = 3x + 60 + x Combine like terms: 16 + 8 = 24 24 + 8x + -2x = 3x + 60 + x Combine like terms: 8x + -2x = 6x 24 + 6x = 3x + 60 + x Reorder the terms: 24 + 6x = 60 + 3x + x Combine like terms: 3x + x = 4x 24 + 6x = 60 + 4x Solving 24 + 6x = 60 + 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. 24 + 6x + -4x = 60 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 60 + 0 24 + 2x = 60 Add '-24' to each side of the equation. 24 + -24 + 2x = 60 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 60 + -24 2x = 60 + -24 Combine like terms: 60 + -24 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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