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Simplifying 5x + 3(4x + -1) = 6 + -2(3x + 11) Reorder the terms: 5x + 3(-1 + 4x) = 6 + -2(3x + 11) 5x + (-1 * 3 + 4x * 3) = 6 + -2(3x + 11) 5x + (-3 + 12x) = 6 + -2(3x + 11) Reorder the terms: -3 + 5x + 12x = 6 + -2(3x + 11) Combine like terms: 5x + 12x = 17x -3 + 17x = 6 + -2(3x + 11) Reorder the terms: -3 + 17x = 6 + -2(11 + 3x) -3 + 17x = 6 + (11 * -2 + 3x * -2) -3 + 17x = 6 + (-22 + -6x) Combine like terms: 6 + -22 = -16 -3 + 17x = -16 + -6x Solving -3 + 17x = -16 + -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. -3 + 17x + 6x = -16 + -6x + 6x Combine like terms: 17x + 6x = 23x -3 + 23x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 23x = -16 + 0 -3 + 23x = -16 Add '3' to each side of the equation. -3 + 3 + 23x = -16 + 3 Combine like terms: -3 + 3 = 0 0 + 23x = -16 + 3 23x = -16 + 3 Combine like terms: -16 + 3 = -13 23x = -13 Divide each side by '23'. x = -0.5652173913 Simplifying x = -0.5652173913
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