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Simplifying 4(x + 7) + -2(4x + -5) = 17 Reorder the terms: 4(7 + x) + -2(4x + -5) = 17 (7 * 4 + x * 4) + -2(4x + -5) = 17 (28 + 4x) + -2(4x + -5) = 17 Reorder the terms: 28 + 4x + -2(-5 + 4x) = 17 28 + 4x + (-5 * -2 + 4x * -2) = 17 28 + 4x + (10 + -8x) = 17 Reorder the terms: 28 + 10 + 4x + -8x = 17 Combine like terms: 28 + 10 = 38 38 + 4x + -8x = 17 Combine like terms: 4x + -8x = -4x 38 + -4x = 17 Solving 38 + -4x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -4x = 17 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 17 + -38 -4x = 17 + -38 Combine like terms: 17 + -38 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25
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