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Simplifying 8(x + 2) + 4x + 7x + -8 + 4(x + -2) = 460 Reorder the terms: 8(2 + x) + 4x + 7x + -8 + 4(x + -2) = 460 (2 * 8 + x * 8) + 4x + 7x + -8 + 4(x + -2) = 460 (16 + 8x) + 4x + 7x + -8 + 4(x + -2) = 460 Reorder the terms: 16 + 8x + 4x + 7x + -8 + 4(-2 + x) = 460 16 + 8x + 4x + 7x + -8 + (-2 * 4 + x * 4) = 460 16 + 8x + 4x + 7x + -8 + (-8 + 4x) = 460 Reorder the terms: 16 + -8 + -8 + 8x + 4x + 7x + 4x = 460 Combine like terms: 16 + -8 = 8 8 + -8 + 8x + 4x + 7x + 4x = 460 Combine like terms: 8 + -8 = 0 0 + 8x + 4x + 7x + 4x = 460 8x + 4x + 7x + 4x = 460 Combine like terms: 8x + 4x = 12x 12x + 7x + 4x = 460 Combine like terms: 12x + 7x = 19x 19x + 4x = 460 Combine like terms: 19x + 4x = 23x 23x = 460 Solving 23x = 460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '23'. x = 20 Simplifying x = 20
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