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Simplifying 7(3x + -2) + 1 = 2(3x + -1) Reorder the terms: 7(-2 + 3x) + 1 = 2(3x + -1) (-2 * 7 + 3x * 7) + 1 = 2(3x + -1) (-14 + 21x) + 1 = 2(3x + -1) Reorder the terms: -14 + 1 + 21x = 2(3x + -1) Combine like terms: -14 + 1 = -13 -13 + 21x = 2(3x + -1) Reorder the terms: -13 + 21x = 2(-1 + 3x) -13 + 21x = (-1 * 2 + 3x * 2) -13 + 21x = (-2 + 6x) Solving -13 + 21x = -2 + 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. -13 + 21x + -6x = -2 + 6x + -6x Combine like terms: 21x + -6x = 15x -13 + 15x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 15x = -2 + 0 -13 + 15x = -2 Add '13' to each side of the equation. -13 + 13 + 15x = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 15x = -2 + 13 15x = -2 + 13 Combine like terms: -2 + 13 = 11 15x = 11 Divide each side by '15'. x = 0.7333333333 Simplifying x = 0.7333333333
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