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Simplifying 4(x + 6) + -2(6x + -6) = 17 Reorder the terms: 4(6 + x) + -2(6x + -6) = 17 (6 * 4 + x * 4) + -2(6x + -6) = 17 (24 + 4x) + -2(6x + -6) = 17 Reorder the terms: 24 + 4x + -2(-6 + 6x) = 17 24 + 4x + (-6 * -2 + 6x * -2) = 17 24 + 4x + (12 + -12x) = 17 Reorder the terms: 24 + 12 + 4x + -12x = 17 Combine like terms: 24 + 12 = 36 36 + 4x + -12x = 17 Combine like terms: 4x + -12x = -8x 36 + -8x = 17 Solving 36 + -8x = 17 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 + -8x = 17 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = 17 + -36 -8x = 17 + -36 Combine like terms: 17 + -36 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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