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Simplifying 4(2x + -9) + -5 = 4(x + -4) + 7 Reorder the terms: 4(-9 + 2x) + -5 = 4(x + -4) + 7 (-9 * 4 + 2x * 4) + -5 = 4(x + -4) + 7 (-36 + 8x) + -5 = 4(x + -4) + 7 Reorder the terms: -36 + -5 + 8x = 4(x + -4) + 7 Combine like terms: -36 + -5 = -41 -41 + 8x = 4(x + -4) + 7 Reorder the terms: -41 + 8x = 4(-4 + x) + 7 -41 + 8x = (-4 * 4 + x * 4) + 7 -41 + 8x = (-16 + 4x) + 7 Reorder the terms: -41 + 8x = -16 + 7 + 4x Combine like terms: -16 + 7 = -9 -41 + 8x = -9 + 4x Solving -41 + 8x = -9 + 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 = -9 + 4x + -4x Combine like terms: 8x + -4x = 4x -41 + 4x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + 4x = -9 + 0 -41 + 4x = -9 Add '41' to each side of the equation. -41 + 41 + 4x = -9 + 41 Combine like terms: -41 + 41 = 0 0 + 4x = -9 + 41 4x = -9 + 41 Combine like terms: -9 + 41 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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