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Simplifying 5 + -4(3 + -2x) = 2(x + 7) + -6x 5 + (3 * -4 + -2x * -4) = 2(x + 7) + -6x 5 + (-12 + 8x) = 2(x + 7) + -6x Combine like terms: 5 + -12 = -7 -7 + 8x = 2(x + 7) + -6x Reorder the terms: -7 + 8x = 2(7 + x) + -6x -7 + 8x = (7 * 2 + x * 2) + -6x -7 + 8x = (14 + 2x) + -6x Combine like terms: 2x + -6x = -4x -7 + 8x = 14 + -4x Solving -7 + 8x = 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. -7 + 8x + 4x = 14 + -4x + 4x Combine like terms: 8x + 4x = 12x -7 + 12x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 12x = 14 + 0 -7 + 12x = 14 Add '7' to each side of the equation. -7 + 7 + 12x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 14 + 7 12x = 14 + 7 Combine like terms: 14 + 7 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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