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Simplifying 2x + -4(x + -2) = -5 + 4x + -17 Reorder the terms: 2x + -4(-2 + x) = -5 + 4x + -17 2x + (-2 * -4 + x * -4) = -5 + 4x + -17 2x + (8 + -4x) = -5 + 4x + -17 Reorder the terms: 8 + 2x + -4x = -5 + 4x + -17 Combine like terms: 2x + -4x = -2x 8 + -2x = -5 + 4x + -17 Reorder the terms: 8 + -2x = -5 + -17 + 4x Combine like terms: -5 + -17 = -22 8 + -2x = -22 + 4x Solving 8 + -2x = -22 + 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. 8 + -2x + -4x = -22 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = -22 + 0 8 + -6x = -22 Add '-8' to each side of the equation. 8 + -8 + -6x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -22 + -8 -6x = -22 + -8 Combine like terms: -22 + -8 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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