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Simplifying -1(3x + 6) + -1(7x + 2) = 4(-2x + -12) Reorder the terms: -1(6 + 3x) + -1(7x + 2) = 4(-2x + -12) (6 * -1 + 3x * -1) + -1(7x + 2) = 4(-2x + -12) (-6 + -3x) + -1(7x + 2) = 4(-2x + -12) Reorder the terms: -6 + -3x + -1(2 + 7x) = 4(-2x + -12) -6 + -3x + (2 * -1 + 7x * -1) = 4(-2x + -12) -6 + -3x + (-2 + -7x) = 4(-2x + -12) Reorder the terms: -6 + -2 + -3x + -7x = 4(-2x + -12) Combine like terms: -6 + -2 = -8 -8 + -3x + -7x = 4(-2x + -12) Combine like terms: -3x + -7x = -10x -8 + -10x = 4(-2x + -12) Reorder the terms: -8 + -10x = 4(-12 + -2x) -8 + -10x = (-12 * 4 + -2x * 4) -8 + -10x = (-48 + -8x) Solving -8 + -10x = -48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + -10x + 8x = -48 + -8x + 8x Combine like terms: -10x + 8x = -2x -8 + -2x = -48 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + -2x = -48 + 0 -8 + -2x = -48 Add '8' to each side of the equation. -8 + 8 + -2x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -48 + 8 -2x = -48 + 8 Combine like terms: -48 + 8 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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