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Simplifying 3(x + -2) + -5 = 4x + 17 Reorder the terms: 3(-2 + x) + -5 = 4x + 17 (-2 * 3 + x * 3) + -5 = 4x + 17 (-6 + 3x) + -5 = 4x + 17 Reorder the terms: -6 + -5 + 3x = 4x + 17 Combine like terms: -6 + -5 = -11 -11 + 3x = 4x + 17 Reorder the terms: -11 + 3x = 17 + 4x Solving -11 + 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. -11 + 3x + -4x = 17 + 4x + -4x Combine like terms: 3x + -4x = -1x -11 + -1x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -1x = 17 + 0 -11 + -1x = 17 Add '11' to each side of the equation. -11 + 11 + -1x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 17 + 11 -1x = 17 + 11 Combine like terms: 17 + 11 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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