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Simplifying 6x + 12 + 4x + 1 = -1x + -7x + 12 + 3x + 5 Reorder the terms: 12 + 1 + 6x + 4x = -1x + -7x + 12 + 3x + 5 Combine like terms: 12 + 1 = 13 13 + 6x + 4x = -1x + -7x + 12 + 3x + 5 Combine like terms: 6x + 4x = 10x 13 + 10x = -1x + -7x + 12 + 3x + 5 Reorder the terms: 13 + 10x = 12 + 5 + -1x + -7x + 3x Combine like terms: 12 + 5 = 17 13 + 10x = 17 + -1x + -7x + 3x Combine like terms: -1x + -7x = -8x 13 + 10x = 17 + -8x + 3x Combine like terms: -8x + 3x = -5x 13 + 10x = 17 + -5x Solving 13 + 10x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + 10x + 5x = 17 + -5x + 5x Combine like terms: 10x + 5x = 15x 13 + 15x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 15x = 17 + 0 13 + 15x = 17 Add '-13' to each side of the equation. 13 + -13 + 15x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 15x = 17 + -13 15x = 17 + -13 Combine like terms: 17 + -13 = 4 15x = 4 Divide each side by '15'. x = 0.2666666667 Simplifying x = 0.2666666667
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