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Simplifying -3(-7x + 4) + -5x = 4(x + -3) + -2 Reorder the terms: -3(4 + -7x) + -5x = 4(x + -3) + -2 (4 * -3 + -7x * -3) + -5x = 4(x + -3) + -2 (-12 + 21x) + -5x = 4(x + -3) + -2 Combine like terms: 21x + -5x = 16x -12 + 16x = 4(x + -3) + -2 Reorder the terms: -12 + 16x = 4(-3 + x) + -2 -12 + 16x = (-3 * 4 + x * 4) + -2 -12 + 16x = (-12 + 4x) + -2 Reorder the terms: -12 + 16x = -12 + -2 + 4x Combine like terms: -12 + -2 = -14 -12 + 16x = -14 + 4x Solving -12 + 16x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 16x + -4x = -14 + 4x + -4x Combine like terms: 16x + -4x = 12x -12 + 12x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 12x = -14 + 0 -12 + 12x = -14 Add '12' to each side of the equation. -12 + 12 + 12x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = -14 + 12 12x = -14 + 12 Combine like terms: -14 + 12 = -2 12x = -2 Divide each side by '12'. x = -0.1666666667 Simplifying x = -0.1666666667
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