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Simplifying 5[4 + x] = 3[4x + -1] + -26 [4 * 5 + x * 5] = 3[4x + -1] + -26 [20 + 5x] = 3[4x + -1] + -26 Reorder the terms: 20 + 5x = 3[-1 + 4x] + -26 20 + 5x = [-1 * 3 + 4x * 3] + -26 20 + 5x = [-3 + 12x] + -26 Reorder the terms: 20 + 5x = -3 + -26 + 12x Combine like terms: -3 + -26 = -29 20 + 5x = -29 + 12x Solving 20 + 5x = -29 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 5x + -12x = -29 + 12x + -12x Combine like terms: 5x + -12x = -7x 20 + -7x = -29 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -7x = -29 + 0 20 + -7x = -29 Add '-20' to each side of the equation. 20 + -20 + -7x = -29 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -29 + -20 -7x = -29 + -20 Combine like terms: -29 + -20 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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