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