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Simplifying 4[2x + -1(x + 5)] = 6(x + -1) Reorder the terms: 4[2x + -1(5 + x)] = 6(x + -1) 4[2x + (5 * -1 + x * -1)] = 6(x + -1) 4[2x + (-5 + -1x)] = 6(x + -1) Reorder the terms: 4[-5 + 2x + -1x] = 6(x + -1) Combine like terms: 2x + -1x = 1x 4[-5 + 1x] = 6(x + -1) [-5 * 4 + 1x * 4] = 6(x + -1) [-20 + 4x] = 6(x + -1) Reorder the terms: -20 + 4x = 6(-1 + x) -20 + 4x = (-1 * 6 + x * 6) -20 + 4x = (-6 + 6x) Solving -20 + 4x = -6 + 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. -20 + 4x + -6x = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x -20 + -2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -2x = -6 + 0 -20 + -2x = -6 Add '20' to each side of the equation. -20 + 20 + -2x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -6 + 20 -2x = -6 + 20 Combine like terms: -6 + 20 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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