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Simplifying 6x + 2(x + -7) = 3x + 3(x + -2) Reorder the terms: 6x + 2(-7 + x) = 3x + 3(x + -2) 6x + (-7 * 2 + x * 2) = 3x + 3(x + -2) 6x + (-14 + 2x) = 3x + 3(x + -2) Reorder the terms: -14 + 6x + 2x = 3x + 3(x + -2) Combine like terms: 6x + 2x = 8x -14 + 8x = 3x + 3(x + -2) Reorder the terms: -14 + 8x = 3x + 3(-2 + x) -14 + 8x = 3x + (-2 * 3 + x * 3) -14 + 8x = 3x + (-6 + 3x) Reorder the terms: -14 + 8x = -6 + 3x + 3x Combine like terms: 3x + 3x = 6x -14 + 8x = -6 + 6x Solving -14 + 8x = -6 + 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. -14 + 8x + -6x = -6 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = -6 + 0 -14 + 2x = -6 Add '14' to each side of the equation. -14 + 14 + 2x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -6 + 14 2x = -6 + 14 Combine like terms: -6 + 14 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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