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Simplifying 3[8 + -1(-6x + -3)] = 36x + 42 Reorder the terms: 3[8 + -1(-3 + -6x)] = 36x + 42 3[8 + (-3 * -1 + -6x * -1)] = 36x + 42 3[8 + (3 + 6x)] = 36x + 42 Combine like terms: 8 + 3 = 11 3[11 + 6x] = 36x + 42 [11 * 3 + 6x * 3] = 36x + 42 [33 + 18x] = 36x + 42 Reorder the terms: 33 + 18x = 42 + 36x Solving 33 + 18x = 42 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 33 + 18x + -36x = 42 + 36x + -36x Combine like terms: 18x + -36x = -18x 33 + -18x = 42 + 36x + -36x Combine like terms: 36x + -36x = 0 33 + -18x = 42 + 0 33 + -18x = 42 Add '-33' to each side of the equation. 33 + -33 + -18x = 42 + -33 Combine like terms: 33 + -33 = 0 0 + -18x = 42 + -33 -18x = 42 + -33 Combine like terms: 42 + -33 = 9 -18x = 9 Divide each side by '-18'. x = -0.5 Simplifying x = -0.5
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