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Simplifying -6(-4x + 2) + -3x = 7(x + -2) + -8 Reorder the terms: -6(2 + -4x) + -3x = 7(x + -2) + -8 (2 * -6 + -4x * -6) + -3x = 7(x + -2) + -8 (-12 + 24x) + -3x = 7(x + -2) + -8 Combine like terms: 24x + -3x = 21x -12 + 21x = 7(x + -2) + -8 Reorder the terms: -12 + 21x = 7(-2 + x) + -8 -12 + 21x = (-2 * 7 + x * 7) + -8 -12 + 21x = (-14 + 7x) + -8 Reorder the terms: -12 + 21x = -14 + -8 + 7x Combine like terms: -14 + -8 = -22 -12 + 21x = -22 + 7x Solving -12 + 21x = -22 + 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. -12 + 21x + -7x = -22 + 7x + -7x Combine like terms: 21x + -7x = 14x -12 + 14x = -22 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 14x = -22 + 0 -12 + 14x = -22 Add '12' to each side of the equation. -12 + 12 + 14x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = -22 + 12 14x = -22 + 12 Combine like terms: -22 + 12 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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