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Simplifying 2 + -7(-3x + 7) = -2(2x + 6) + 8 Reorder the terms: 2 + -7(7 + -3x) = -2(2x + 6) + 8 2 + (7 * -7 + -3x * -7) = -2(2x + 6) + 8 2 + (-49 + 21x) = -2(2x + 6) + 8 Combine like terms: 2 + -49 = -47 -47 + 21x = -2(2x + 6) + 8 Reorder the terms: -47 + 21x = -2(6 + 2x) + 8 -47 + 21x = (6 * -2 + 2x * -2) + 8 -47 + 21x = (-12 + -4x) + 8 Reorder the terms: -47 + 21x = -12 + 8 + -4x Combine like terms: -12 + 8 = -4 -47 + 21x = -4 + -4x Solving -47 + 21x = -4 + -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. -47 + 21x + 4x = -4 + -4x + 4x Combine like terms: 21x + 4x = 25x -47 + 25x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -47 + 25x = -4 + 0 -47 + 25x = -4 Add '47' to each side of the equation. -47 + 47 + 25x = -4 + 47 Combine like terms: -47 + 47 = 0 0 + 25x = -4 + 47 25x = -4 + 47 Combine like terms: -4 + 47 = 43 25x = 43 Divide each side by '25'. x = 1.72 Simplifying x = 1.72
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