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Simplifying 4x + -17 = 3(x + -5) Reorder the terms: -17 + 4x = 3(x + -5) Reorder the terms: -17 + 4x = 3(-5 + x) -17 + 4x = (-5 * 3 + x * 3) -17 + 4x = (-15 + 3x) Solving -17 + 4x = -15 + 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. -17 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -17 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 1x = -15 + 0 -17 + 1x = -15 Add '17' to each side of the equation. -17 + 17 + 1x = -15 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -15 + 17 1x = -15 + 17 Combine like terms: -15 + 17 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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