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Simplifying 7x + 6x + 2x + 7 = 8x + 5 + 4x Reorder the terms: 7 + 7x + 6x + 2x = 8x + 5 + 4x Combine like terms: 7x + 6x = 13x 7 + 13x + 2x = 8x + 5 + 4x Combine like terms: 13x + 2x = 15x 7 + 15x = 8x + 5 + 4x Reorder the terms: 7 + 15x = 5 + 8x + 4x Combine like terms: 8x + 4x = 12x 7 + 15x = 5 + 12x Solving 7 + 15x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 15x + -12x = 5 + 12x + -12x Combine like terms: 15x + -12x = 3x 7 + 3x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 3x = 5 + 0 7 + 3x = 5 Add '-7' to each side of the equation. 7 + -7 + 3x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 5 + -7 3x = 5 + -7 Combine like terms: 5 + -7 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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