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Simplifying -3(x + 4) + -1(3 + -7x) = 3(x + -2) Reorder the terms: -3(4 + x) + -1(3 + -7x) = 3(x + -2) (4 * -3 + x * -3) + -1(3 + -7x) = 3(x + -2) (-12 + -3x) + -1(3 + -7x) = 3(x + -2) -12 + -3x + (3 * -1 + -7x * -1) = 3(x + -2) -12 + -3x + (-3 + 7x) = 3(x + -2) Reorder the terms: -12 + -3 + -3x + 7x = 3(x + -2) Combine like terms: -12 + -3 = -15 -15 + -3x + 7x = 3(x + -2) Combine like terms: -3x + 7x = 4x -15 + 4x = 3(x + -2) Reorder the terms: -15 + 4x = 3(-2 + x) -15 + 4x = (-2 * 3 + x * 3) -15 + 4x = (-6 + 3x) Solving -15 + 4x = -6 + 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. -15 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x -15 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 1x = -6 + 0 -15 + 1x = -6 Add '15' to each side of the equation. -15 + 15 + 1x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -6 + 15 1x = -6 + 15 Combine like terms: -6 + 15 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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