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Simplifying 3x + -1(2 + 4x) = 2(x + -7) 3x + (2 * -1 + 4x * -1) = 2(x + -7) 3x + (-2 + -4x) = 2(x + -7) Reorder the terms: -2 + 3x + -4x = 2(x + -7) Combine like terms: 3x + -4x = -1x -2 + -1x = 2(x + -7) Reorder the terms: -2 + -1x = 2(-7 + x) -2 + -1x = (-7 * 2 + x * 2) -2 + -1x = (-14 + 2x) Solving -2 + -1x = -14 + 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. -2 + -1x + -2x = -14 + 2x + -2x Combine like terms: -1x + -2x = -3x -2 + -3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -3x = -14 + 0 -2 + -3x = -14 Add '2' to each side of the equation. -2 + 2 + -3x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -14 + 2 -3x = -14 + 2 Combine like terms: -14 + 2 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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