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Simplifying 4(2x + -9) + -5 = 4(x + -2) + -25 Reorder the terms: 4(-9 + 2x) + -5 = 4(x + -2) + -25 (-9 * 4 + 2x * 4) + -5 = 4(x + -2) + -25 (-36 + 8x) + -5 = 4(x + -2) + -25 Reorder the terms: -36 + -5 + 8x = 4(x + -2) + -25 Combine like terms: -36 + -5 = -41 -41 + 8x = 4(x + -2) + -25 Reorder the terms: -41 + 8x = 4(-2 + x) + -25 -41 + 8x = (-2 * 4 + x * 4) + -25 -41 + 8x = (-8 + 4x) + -25 Reorder the terms: -41 + 8x = -8 + -25 + 4x Combine like terms: -8 + -25 = -33 -41 + 8x = -33 + 4x Solving -41 + 8x = -33 + 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 = -33 + 4x + -4x Combine like terms: 8x + -4x = 4x -41 + 4x = -33 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + 4x = -33 + 0 -41 + 4x = -33 Add '41' to each side of the equation. -41 + 41 + 4x = -33 + 41 Combine like terms: -41 + 41 = 0 0 + 4x = -33 + 41 4x = -33 + 41 Combine like terms: -33 + 41 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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