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Simplifying 3x + -4 + -1(-5x + -3) = 2x + 17 Reorder the terms: 3x + -4 + -1(-3 + -5x) = 2x + 17 3x + -4 + (-3 * -1 + -5x * -1) = 2x + 17 3x + -4 + (3 + 5x) = 2x + 17 Reorder the terms: -4 + 3 + 3x + 5x = 2x + 17 Combine like terms: -4 + 3 = -1 -1 + 3x + 5x = 2x + 17 Combine like terms: 3x + 5x = 8x -1 + 8x = 2x + 17 Reorder the terms: -1 + 8x = 17 + 2x Solving -1 + 8x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 8x + -2x = 17 + 2x + -2x Combine like terms: 8x + -2x = 6x -1 + 6x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 6x = 17 + 0 -1 + 6x = 17 Add '1' to each side of the equation. -1 + 1 + 6x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 17 + 1 6x = 17 + 1 Combine like terms: 17 + 1 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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