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Simplifying 4[(6x + 1) + -8] = 3(2x + -7) Reorder the terms: 4[(1 + 6x) + -8] = 3(2x + -7) Remove parenthesis around (1 + 6x) 4[1 + 6x + -8] = 3(2x + -7) Reorder the terms: 4[1 + -8 + 6x] = 3(2x + -7) Combine like terms: 1 + -8 = -7 4[-7 + 6x] = 3(2x + -7) [-7 * 4 + 6x * 4] = 3(2x + -7) [-28 + 24x] = 3(2x + -7) Reorder the terms: -28 + 24x = 3(-7 + 2x) -28 + 24x = (-7 * 3 + 2x * 3) -28 + 24x = (-21 + 6x) Solving -28 + 24x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 24x + -6x = -21 + 6x + -6x Combine like terms: 24x + -6x = 18x -28 + 18x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 18x = -21 + 0 -28 + 18x = -21 Add '28' to each side of the equation. -28 + 28 + 18x = -21 + 28 Combine like terms: -28 + 28 = 0 0 + 18x = -21 + 28 18x = -21 + 28 Combine like terms: -21 + 28 = 7 18x = 7 Divide each side by '18'. x = 0.3888888889 Simplifying x = 0.3888888889
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