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Simplifying 2(x + 5) + -3(4 + x) + -4x = -17 Reorder the terms: 2(5 + x) + -3(4 + x) + -4x = -17 (5 * 2 + x * 2) + -3(4 + x) + -4x = -17 (10 + 2x) + -3(4 + x) + -4x = -17 10 + 2x + (4 * -3 + x * -3) + -4x = -17 10 + 2x + (-12 + -3x) + -4x = -17 Reorder the terms: 10 + -12 + 2x + -3x + -4x = -17 Combine like terms: 10 + -12 = -2 -2 + 2x + -3x + -4x = -17 Combine like terms: 2x + -3x = -1x -2 + -1x + -4x = -17 Combine like terms: -1x + -4x = -5x -2 + -5x = -17 Solving -2 + -5x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = -17 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -17 + 2 -5x = -17 + 2 Combine like terms: -17 + 2 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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