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Simplifying 4(2x + -9) + -5 = 4(x + -3) + -5 Reorder the terms: 4(-9 + 2x) + -5 = 4(x + -3) + -5 (-9 * 4 + 2x * 4) + -5 = 4(x + -3) + -5 (-36 + 8x) + -5 = 4(x + -3) + -5 Reorder the terms: -36 + -5 + 8x = 4(x + -3) + -5 Combine like terms: -36 + -5 = -41 -41 + 8x = 4(x + -3) + -5 Reorder the terms: -41 + 8x = 4(-3 + x) + -5 -41 + 8x = (-3 * 4 + x * 4) + -5 -41 + 8x = (-12 + 4x) + -5 Reorder the terms: -41 + 8x = -12 + -5 + 4x Combine like terms: -12 + -5 = -17 -41 + 8x = -17 + 4x Solving -41 + 8x = -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. -41 + 8x + -4x = -17 + 4x + -4x Combine like terms: 8x + -4x = 4x -41 + 4x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + 4x = -17 + 0 -41 + 4x = -17 Add '41' to each side of the equation. -41 + 41 + 4x = -17 + 41 Combine like terms: -41 + 41 = 0 0 + 4x = -17 + 41 4x = -17 + 41 Combine like terms: -17 + 41 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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