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Simplifying 4[3x + -1(4x + 6) + -5] = -1(3x + 48) Reorder the terms: 4[3x + -1(6 + 4x) + -5] = -1(3x + 48) 4[3x + (6 * -1 + 4x * -1) + -5] = -1(3x + 48) 4[3x + (-6 + -4x) + -5] = -1(3x + 48) Reorder the terms: 4[-6 + -5 + 3x + -4x] = -1(3x + 48) Combine like terms: -6 + -5 = -11 4[-11 + 3x + -4x] = -1(3x + 48) Combine like terms: 3x + -4x = -1x 4[-11 + -1x] = -1(3x + 48) [-11 * 4 + -1x * 4] = -1(3x + 48) [-44 + -4x] = -1(3x + 48) Reorder the terms: -44 + -4x = -1(48 + 3x) -44 + -4x = (48 * -1 + 3x * -1) -44 + -4x = (-48 + -3x) Solving -44 + -4x = -48 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -44 + -4x + 3x = -48 + -3x + 3x Combine like terms: -4x + 3x = -1x -44 + -1x = -48 + -3x + 3x Combine like terms: -3x + 3x = 0 -44 + -1x = -48 + 0 -44 + -1x = -48 Add '44' to each side of the equation. -44 + 44 + -1x = -48 + 44 Combine like terms: -44 + 44 = 0 0 + -1x = -48 + 44 -1x = -48 + 44 Combine like terms: -48 + 44 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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