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Simplifying 2[1 + -1(-6x + -3)] = 48x + 26 Reorder the terms: 2[1 + -1(-3 + -6x)] = 48x + 26 2[1 + (-3 * -1 + -6x * -1)] = 48x + 26 2[1 + (3 + 6x)] = 48x + 26 Combine like terms: 1 + 3 = 4 2[4 + 6x] = 48x + 26 [4 * 2 + 6x * 2] = 48x + 26 [8 + 12x] = 48x + 26 Reorder the terms: 8 + 12x = 26 + 48x Solving 8 + 12x = 26 + 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. 8 + 12x + -48x = 26 + 48x + -48x Combine like terms: 12x + -48x = -36x 8 + -36x = 26 + 48x + -48x Combine like terms: 48x + -48x = 0 8 + -36x = 26 + 0 8 + -36x = 26 Add '-8' to each side of the equation. 8 + -8 + -36x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -36x = 26 + -8 -36x = 26 + -8 Combine like terms: 26 + -8 = 18 -36x = 18 Divide each side by '-36'. x = -0.5 Simplifying x = -0.5
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