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Simplifying -2(-3x + -5) = 4x + 3x + 17 Reorder the terms: -2(-5 + -3x) = 4x + 3x + 17 (-5 * -2 + -3x * -2) = 4x + 3x + 17 (10 + 6x) = 4x + 3x + 17 Reorder the terms: 10 + 6x = 17 + 4x + 3x Combine like terms: 4x + 3x = 7x 10 + 6x = 17 + 7x Solving 10 + 6x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 6x + -7x = 17 + 7x + -7x Combine like terms: 6x + -7x = -1x 10 + -1x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -1x = 17 + 0 10 + -1x = 17 Add '-10' to each side of the equation. 10 + -10 + -1x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 17 + -10 -1x = 17 + -10 Combine like terms: 17 + -10 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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