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Simplifying -7(-3x + 2) + -3x = 3(x + -2) + -2 Reorder the terms: -7(2 + -3x) + -3x = 3(x + -2) + -2 (2 * -7 + -3x * -7) + -3x = 3(x + -2) + -2 (-14 + 21x) + -3x = 3(x + -2) + -2 Combine like terms: 21x + -3x = 18x -14 + 18x = 3(x + -2) + -2 Reorder the terms: -14 + 18x = 3(-2 + x) + -2 -14 + 18x = (-2 * 3 + x * 3) + -2 -14 + 18x = (-6 + 3x) + -2 Reorder the terms: -14 + 18x = -6 + -2 + 3x Combine like terms: -6 + -2 = -8 -14 + 18x = -8 + 3x Solving -14 + 18x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 18x + -3x = -8 + 3x + -3x Combine like terms: 18x + -3x = 15x -14 + 15x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 15x = -8 + 0 -14 + 15x = -8 Add '14' to each side of the equation. -14 + 14 + 15x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = -8 + 14 15x = -8 + 14 Combine like terms: -8 + 14 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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