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Simplifying 2x + -3(5x + 1) = 3x + 17 Reorder the terms: 2x + -3(1 + 5x) = 3x + 17 2x + (1 * -3 + 5x * -3) = 3x + 17 2x + (-3 + -15x) = 3x + 17 Reorder the terms: -3 + 2x + -15x = 3x + 17 Combine like terms: 2x + -15x = -13x -3 + -13x = 3x + 17 Reorder the terms: -3 + -13x = 17 + 3x Solving -3 + -13x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -13x + -3x = 17 + 3x + -3x Combine like terms: -13x + -3x = -16x -3 + -16x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -16x = 17 + 0 -3 + -16x = 17 Add '3' to each side of the equation. -3 + 3 + -16x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -16x = 17 + 3 -16x = 17 + 3 Combine like terms: 17 + 3 = 20 -16x = 20 Divide each side by '-16'. x = -1.25 Simplifying x = -1.25
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