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Simplifying 6 + -4x = 7 + 4(2x + 5) Reorder the terms: 6 + -4x = 7 + 4(5 + 2x) 6 + -4x = 7 + (5 * 4 + 2x * 4) 6 + -4x = 7 + (20 + 8x) Combine like terms: 7 + 20 = 27 6 + -4x = 27 + 8x Solving 6 + -4x = 27 + 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. 6 + -4x + -8x = 27 + 8x + -8x Combine like terms: -4x + -8x = -12x 6 + -12x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -12x = 27 + 0 6 + -12x = 27 Add '-6' to each side of the equation. 6 + -6 + -12x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 27 + -6 -12x = 27 + -6 Combine like terms: 27 + -6 = 21 -12x = 21 Divide each side by '-12'. x = -1.75 Simplifying x = -1.75
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