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Simplifying 5x + 6 = 3x + 4[x + -5] Reorder the terms: 6 + 5x = 3x + 4[x + -5] Reorder the terms: 6 + 5x = 3x + 4[-5 + x] 6 + 5x = 3x + [-5 * 4 + x * 4] 6 + 5x = 3x + [-20 + 4x] Reorder the terms: 6 + 5x = -20 + 3x + 4x Combine like terms: 3x + 4x = 7x 6 + 5x = -20 + 7x Solving 6 + 5x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 5x + -7x = -20 + 7x + -7x Combine like terms: 5x + -7x = -2x 6 + -2x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -2x = -20 + 0 6 + -2x = -20 Add '-6' to each side of the equation. 6 + -6 + -2x = -20 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -20 + -6 -2x = -20 + -6 Combine like terms: -20 + -6 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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