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Simplifying 2x + -17 = 3(x + -4) Reorder the terms: -17 + 2x = 3(x + -4) Reorder the terms: -17 + 2x = 3(-4 + x) -17 + 2x = (-4 * 3 + x * 3) -17 + 2x = (-12 + 3x) Solving -17 + 2x = -12 + 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 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x -17 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + -1x = -12 + 0 -17 + -1x = -12 Add '17' to each side of the equation. -17 + 17 + -1x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -12 + 17 -1x = -12 + 17 Combine like terms: -12 + 17 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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