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Simplifying x + -1 + 3(2x + -4) = 3 + -1(2x + 1) Reorder the terms: x + -1 + 3(-4 + 2x) = 3 + -1(2x + 1) x + -1 + (-4 * 3 + 2x * 3) = 3 + -1(2x + 1) x + -1 + (-12 + 6x) = 3 + -1(2x + 1) Reorder the terms: -1 + -12 + x + 6x = 3 + -1(2x + 1) Combine like terms: -1 + -12 = -13 -13 + x + 6x = 3 + -1(2x + 1) Combine like terms: x + 6x = 7x -13 + 7x = 3 + -1(2x + 1) Reorder the terms: -13 + 7x = 3 + -1(1 + 2x) -13 + 7x = 3 + (1 * -1 + 2x * -1) -13 + 7x = 3 + (-1 + -2x) Combine like terms: 3 + -1 = 2 -13 + 7x = 2 + -2x Solving -13 + 7x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -13 + 7x + 2x = 2 + -2x + 2x Combine like terms: 7x + 2x = 9x -13 + 9x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 9x = 2 + 0 -13 + 9x = 2 Add '13' to each side of the equation. -13 + 13 + 9x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 2 + 13 9x = 2 + 13 Combine like terms: 2 + 13 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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