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Simplifying -1(7x + 2) = 3(x + -4) Reorder the terms: -1(2 + 7x) = 3(x + -4) (2 * -1 + 7x * -1) = 3(x + -4) (-2 + -7x) = 3(x + -4) Reorder the terms: -2 + -7x = 3(-4 + x) -2 + -7x = (-4 * 3 + x * 3) -2 + -7x = (-12 + 3x) Solving -2 + -7x = -12 + 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 = -12 + 3x + -3x Combine like terms: -7x + -3x = -10x -2 + -10x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -10x = -12 + 0 -2 + -10x = -12 Add '2' to each side of the equation. -2 + 2 + -10x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -12 + 2 -10x = -12 + 2 Combine like terms: -12 + 2 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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