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Simplifying 3x + 7 + -5x + -1[4x + -20 + -5] = 4x + -20 Reorder the terms: 3x + 7 + -5x + -1[-20 + -5 + 4x] = 4x + -20 Combine like terms: -20 + -5 = -25 3x + 7 + -5x + -1[-25 + 4x] = 4x + -20 3x + 7 + -5x + [-25 * -1 + 4x * -1] = 4x + -20 3x + 7 + -5x + [25 + -4x] = 4x + -20 Reorder the terms: 7 + 25 + 3x + -5x + -4x = 4x + -20 Combine like terms: 7 + 25 = 32 32 + 3x + -5x + -4x = 4x + -20 Combine like terms: 3x + -5x = -2x 32 + -2x + -4x = 4x + -20 Combine like terms: -2x + -4x = -6x 32 + -6x = 4x + -20 Reorder the terms: 32 + -6x = -20 + 4x Solving 32 + -6x = -20 + 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. 32 + -6x + -4x = -20 + 4x + -4x Combine like terms: -6x + -4x = -10x 32 + -10x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -10x = -20 + 0 32 + -10x = -20 Add '-32' to each side of the equation. 32 + -32 + -10x = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = -20 + -32 -10x = -20 + -32 Combine like terms: -20 + -32 = -52 -10x = -52 Divide each side by '-10'. x = 5.2 Simplifying x = 5.2
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