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Simplifying 8(x + 6) + 2(3x + -6) = 50 Reorder the terms: 8(6 + x) + 2(3x + -6) = 50 (6 * 8 + x * 8) + 2(3x + -6) = 50 (48 + 8x) + 2(3x + -6) = 50 Reorder the terms: 48 + 8x + 2(-6 + 3x) = 50 48 + 8x + (-6 * 2 + 3x * 2) = 50 48 + 8x + (-12 + 6x) = 50 Reorder the terms: 48 + -12 + 8x + 6x = 50 Combine like terms: 48 + -12 = 36 36 + 8x + 6x = 50 Combine like terms: 8x + 6x = 14x 36 + 14x = 50 Solving 36 + 14x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 14x = 50 + -36 Combine like terms: 36 + -36 = 0 0 + 14x = 50 + -36 14x = 50 + -36 Combine like terms: 50 + -36 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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