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Simplifying -2X + 5x + -17 = 3(x + -4) + -23 Reorder the terms: -17 + -2X + 5x = 3(x + -4) + -23 Reorder the terms: -17 + -2X + 5x = 3(-4 + x) + -23 -17 + -2X + 5x = (-4 * 3 + x * 3) + -23 -17 + -2X + 5x = (-12 + 3x) + -23 Reorder the terms: -17 + -2X + 5x = -12 + -23 + 3x Combine like terms: -12 + -23 = -35 -17 + -2X + 5x = -35 + 3x Solving -17 + -2X + 5x = -35 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -2X + 17 + 5x = -35 + 17 + 3x Reorder the terms: -17 + 17 + -2X + 5x = -35 + 17 + 3x Combine like terms: -17 + 17 = 0 0 + -2X + 5x = -35 + 17 + 3x -2X + 5x = -35 + 17 + 3x Combine like terms: -35 + 17 = -18 -2X + 5x = -18 + 3x Add '-5x' to each side of the equation. -2X + 5x + -5x = -18 + 3x + -5x Combine like terms: 5x + -5x = 0 -2X + 0 = -18 + 3x + -5x -2X = -18 + 3x + -5x Combine like terms: 3x + -5x = -2x -2X = -18 + -2x Divide each side by '-2'. X = 9 + x Simplifying X = 9 + x
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