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Simplifying 3x + -8(8 + -6x) = -17 + 4x 3x + (8 * -8 + -6x * -8) = -17 + 4x 3x + (-64 + 48x) = -17 + 4x Reorder the terms: -64 + 3x + 48x = -17 + 4x Combine like terms: 3x + 48x = 51x -64 + 51x = -17 + 4x Solving -64 + 51x = -17 + 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. -64 + 51x + -4x = -17 + 4x + -4x Combine like terms: 51x + -4x = 47x -64 + 47x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + 47x = -17 + 0 -64 + 47x = -17 Add '64' to each side of the equation. -64 + 64 + 47x = -17 + 64 Combine like terms: -64 + 64 = 0 0 + 47x = -17 + 64 47x = -17 + 64 Combine like terms: -17 + 64 = 47 47x = 47 Divide each side by '47'. x = 1 Simplifying x = 1
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