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Simplifying -5 + 4(4x + -9) = 5 + -4(4x + 2) Reorder the terms: -5 + 4(-9 + 4x) = 5 + -4(4x + 2) -5 + (-9 * 4 + 4x * 4) = 5 + -4(4x + 2) -5 + (-36 + 16x) = 5 + -4(4x + 2) Combine like terms: -5 + -36 = -41 -41 + 16x = 5 + -4(4x + 2) Reorder the terms: -41 + 16x = 5 + -4(2 + 4x) -41 + 16x = 5 + (2 * -4 + 4x * -4) -41 + 16x = 5 + (-8 + -16x) Combine like terms: 5 + -8 = -3 -41 + 16x = -3 + -16x Solving -41 + 16x = -3 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -41 + 16x + 16x = -3 + -16x + 16x Combine like terms: 16x + 16x = 32x -41 + 32x = -3 + -16x + 16x Combine like terms: -16x + 16x = 0 -41 + 32x = -3 + 0 -41 + 32x = -3 Add '41' to each side of the equation. -41 + 41 + 32x = -3 + 41 Combine like terms: -41 + 41 = 0 0 + 32x = -3 + 41 32x = -3 + 41 Combine like terms: -3 + 41 = 38 32x = 38 Divide each side by '32'. x = 1.1875 Simplifying x = 1.1875
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