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Simplifying 5x + 3(4x + -1) = 6 + -2(3x + 1) Reorder the terms: 5x + 3(-1 + 4x) = 6 + -2(3x + 1) 5x + (-1 * 3 + 4x * 3) = 6 + -2(3x + 1) 5x + (-3 + 12x) = 6 + -2(3x + 1) Reorder the terms: -3 + 5x + 12x = 6 + -2(3x + 1) Combine like terms: 5x + 12x = 17x -3 + 17x = 6 + -2(3x + 1) Reorder the terms: -3 + 17x = 6 + -2(1 + 3x) -3 + 17x = 6 + (1 * -2 + 3x * -2) -3 + 17x = 6 + (-2 + -6x) Combine like terms: 6 + -2 = 4 -3 + 17x = 4 + -6x Solving -3 + 17x = 4 + -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 = 4 + -6x + 6x Combine like terms: 17x + 6x = 23x -3 + 23x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 23x = 4 + 0 -3 + 23x = 4 Add '3' to each side of the equation. -3 + 3 + 23x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 23x = 4 + 3 23x = 4 + 3 Combine like terms: 4 + 3 = 7 23x = 7 Divide each side by '23'. x = 0.3043478261 Simplifying x = 0.3043478261
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