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Simplifying 2[5 + -1(-4x + -8)] = 48x + 106 Reorder the terms: 2[5 + -1(-8 + -4x)] = 48x + 106 2[5 + (-8 * -1 + -4x * -1)] = 48x + 106 2[5 + (8 + 4x)] = 48x + 106 Combine like terms: 5 + 8 = 13 2[13 + 4x] = 48x + 106 [13 * 2 + 4x * 2] = 48x + 106 [26 + 8x] = 48x + 106 Reorder the terms: 26 + 8x = 106 + 48x Solving 26 + 8x = 106 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 26 + 8x + -48x = 106 + 48x + -48x Combine like terms: 8x + -48x = -40x 26 + -40x = 106 + 48x + -48x Combine like terms: 48x + -48x = 0 26 + -40x = 106 + 0 26 + -40x = 106 Add '-26' to each side of the equation. 26 + -26 + -40x = 106 + -26 Combine like terms: 26 + -26 = 0 0 + -40x = 106 + -26 -40x = 106 + -26 Combine like terms: 106 + -26 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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