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Simplifying -4(8 + -7x) + -6 = -2(2x + 3) (8 * -4 + -7x * -4) + -6 = -2(2x + 3) (-32 + 28x) + -6 = -2(2x + 3) Reorder the terms: -32 + -6 + 28x = -2(2x + 3) Combine like terms: -32 + -6 = -38 -38 + 28x = -2(2x + 3) Reorder the terms: -38 + 28x = -2(3 + 2x) -38 + 28x = (3 * -2 + 2x * -2) -38 + 28x = (-6 + -4x) Solving -38 + 28x = -6 + -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. -38 + 28x + 4x = -6 + -4x + 4x Combine like terms: 28x + 4x = 32x -38 + 32x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 -38 + 32x = -6 + 0 -38 + 32x = -6 Add '38' to each side of the equation. -38 + 38 + 32x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 32x = -6 + 38 32x = -6 + 38 Combine like terms: -6 + 38 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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