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Simplifying -3(x + 4) + -1(4x + -8) = 7(x + -2) Reorder the terms: -3(4 + x) + -1(4x + -8) = 7(x + -2) (4 * -3 + x * -3) + -1(4x + -8) = 7(x + -2) (-12 + -3x) + -1(4x + -8) = 7(x + -2) Reorder the terms: -12 + -3x + -1(-8 + 4x) = 7(x + -2) -12 + -3x + (-8 * -1 + 4x * -1) = 7(x + -2) -12 + -3x + (8 + -4x) = 7(x + -2) Reorder the terms: -12 + 8 + -3x + -4x = 7(x + -2) Combine like terms: -12 + 8 = -4 -4 + -3x + -4x = 7(x + -2) Combine like terms: -3x + -4x = -7x -4 + -7x = 7(x + -2) Reorder the terms: -4 + -7x = 7(-2 + x) -4 + -7x = (-2 * 7 + x * 7) -4 + -7x = (-14 + 7x) Solving -4 + -7x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + -7x + -7x = -14 + 7x + -7x Combine like terms: -7x + -7x = -14x -4 + -14x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -14x = -14 + 0 -4 + -14x = -14 Add '4' to each side of the equation. -4 + 4 + -14x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = -14 + 4 -14x = -14 + 4 Combine like terms: -14 + 4 = -10 -14x = -10 Divide each side by '-14'. x = 0.7142857143 Simplifying x = 0.7142857143
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