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Simplifying x + 2(4x + -13) + 9 = 3(x + -5) + 4(x + -4) Reorder the terms: x + 2(-13 + 4x) + 9 = 3(x + -5) + 4(x + -4) x + (-13 * 2 + 4x * 2) + 9 = 3(x + -5) + 4(x + -4) x + (-26 + 8x) + 9 = 3(x + -5) + 4(x + -4) Reorder the terms: -26 + 9 + x + 8x = 3(x + -5) + 4(x + -4) Combine like terms: -26 + 9 = -17 -17 + x + 8x = 3(x + -5) + 4(x + -4) Combine like terms: x + 8x = 9x -17 + 9x = 3(x + -5) + 4(x + -4) Reorder the terms: -17 + 9x = 3(-5 + x) + 4(x + -4) -17 + 9x = (-5 * 3 + x * 3) + 4(x + -4) -17 + 9x = (-15 + 3x) + 4(x + -4) Reorder the terms: -17 + 9x = -15 + 3x + 4(-4 + x) -17 + 9x = -15 + 3x + (-4 * 4 + x * 4) -17 + 9x = -15 + 3x + (-16 + 4x) Reorder the terms: -17 + 9x = -15 + -16 + 3x + 4x Combine like terms: -15 + -16 = -31 -17 + 9x = -31 + 3x + 4x Combine like terms: 3x + 4x = 7x -17 + 9x = -31 + 7x Solving -17 + 9x = -31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + 9x + -7x = -31 + 7x + -7x Combine like terms: 9x + -7x = 2x -17 + 2x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + 2x = -31 + 0 -17 + 2x = -31 Add '17' to each side of the equation. -17 + 17 + 2x = -31 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -31 + 17 2x = -31 + 17 Combine like terms: -31 + 17 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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