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Simplifying (3x + -2) + -10x = (6x + 1) + -1(3x + -2) Reorder the terms: (-2 + 3x) + -10x = (6x + 1) + -1(3x + -2) Remove parenthesis around (-2 + 3x) -2 + 3x + -10x = (6x + 1) + -1(3x + -2) Combine like terms: 3x + -10x = -7x -2 + -7x = (6x + 1) + -1(3x + -2) Reorder the terms: -2 + -7x = (1 + 6x) + -1(3x + -2) Remove parenthesis around (1 + 6x) -2 + -7x = 1 + 6x + -1(3x + -2) Reorder the terms: -2 + -7x = 1 + 6x + -1(-2 + 3x) -2 + -7x = 1 + 6x + (-2 * -1 + 3x * -1) -2 + -7x = 1 + 6x + (2 + -3x) Reorder the terms: -2 + -7x = 1 + 2 + 6x + -3x Combine like terms: 1 + 2 = 3 -2 + -7x = 3 + 6x + -3x Combine like terms: 6x + -3x = 3x -2 + -7x = 3 + 3x Solving -2 + -7x = 3 + 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. -2 + -7x + -3x = 3 + 3x + -3x Combine like terms: -7x + -3x = -10x -2 + -10x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -10x = 3 + 0 -2 + -10x = 3 Add '2' to each side of the equation. -2 + 2 + -10x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 3 + 2 -10x = 3 + 2 Combine like terms: 3 + 2 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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