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Simplifying 4x + 2(4x + -1) = 7 + -3(2x + 1) Reorder the terms: 4x + 2(-1 + 4x) = 7 + -3(2x + 1) 4x + (-1 * 2 + 4x * 2) = 7 + -3(2x + 1) 4x + (-2 + 8x) = 7 + -3(2x + 1) Reorder the terms: -2 + 4x + 8x = 7 + -3(2x + 1) Combine like terms: 4x + 8x = 12x -2 + 12x = 7 + -3(2x + 1) Reorder the terms: -2 + 12x = 7 + -3(1 + 2x) -2 + 12x = 7 + (1 * -3 + 2x * -3) -2 + 12x = 7 + (-3 + -6x) Combine like terms: 7 + -3 = 4 -2 + 12x = 4 + -6x Solving -2 + 12x = 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. -2 + 12x + 6x = 4 + -6x + 6x Combine like terms: 12x + 6x = 18x -2 + 18x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 18x = 4 + 0 -2 + 18x = 4 Add '2' to each side of the equation. -2 + 2 + 18x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 4 + 2 18x = 4 + 2 Combine like terms: 4 + 2 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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