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Simplifying 5x + 5(4 + -1x) + 6(2x + 1) = -4(4x + 1) + 26 5x + (4 * 5 + -1x * 5) + 6(2x + 1) = -4(4x + 1) + 26 5x + (20 + -5x) + 6(2x + 1) = -4(4x + 1) + 26 Reorder the terms: 5x + 20 + -5x + 6(1 + 2x) = -4(4x + 1) + 26 5x + 20 + -5x + (1 * 6 + 2x * 6) = -4(4x + 1) + 26 5x + 20 + -5x + (6 + 12x) = -4(4x + 1) + 26 Reorder the terms: 20 + 6 + 5x + -5x + 12x = -4(4x + 1) + 26 Combine like terms: 20 + 6 = 26 26 + 5x + -5x + 12x = -4(4x + 1) + 26 Combine like terms: 5x + -5x = 0 26 + 0 + 12x = -4(4x + 1) + 26 26 + 12x = -4(4x + 1) + 26 Reorder the terms: 26 + 12x = -4(1 + 4x) + 26 26 + 12x = (1 * -4 + 4x * -4) + 26 26 + 12x = (-4 + -16x) + 26 Reorder the terms: 26 + 12x = -4 + 26 + -16x Combine like terms: -4 + 26 = 22 26 + 12x = 22 + -16x Solving 26 + 12x = 22 + -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. 26 + 12x + 16x = 22 + -16x + 16x Combine like terms: 12x + 16x = 28x 26 + 28x = 22 + -16x + 16x Combine like terms: -16x + 16x = 0 26 + 28x = 22 + 0 26 + 28x = 22 Add '-26' to each side of the equation. 26 + -26 + 28x = 22 + -26 Combine like terms: 26 + -26 = 0 0 + 28x = 22 + -26 28x = 22 + -26 Combine like terms: 22 + -26 = -4 28x = -4 Divide each side by '28'. x = -0.1428571429 Simplifying x = -0.1428571429
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