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Simplifying 1x + 4x + 7x + -13 = 4 + x + -7 Reorder the terms: -13 + 1x + 4x + 7x = 4 + x + -7 Combine like terms: 1x + 4x = 5x -13 + 5x + 7x = 4 + x + -7 Combine like terms: 5x + 7x = 12x -13 + 12x = 4 + x + -7 Reorder the terms: -13 + 12x = 4 + -7 + x Combine like terms: 4 + -7 = -3 -13 + 12x = -3 + x Solving -13 + 12x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 12x + -1x = -3 + x + -1x Combine like terms: 12x + -1x = 11x -13 + 11x = -3 + x + -1x Combine like terms: x + -1x = 0 -13 + 11x = -3 + 0 -13 + 11x = -3 Add '13' to each side of the equation. -13 + 13 + 11x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = -3 + 13 11x = -3 + 13 Combine like terms: -3 + 13 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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