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Simplifying -7x + 3.5 = 6x + 6 + -1 Reorder the terms: 3.5 + -7x = 6x + 6 + -1 Reorder the terms: 3.5 + -7x = 6 + -1 + 6x Combine like terms: 6 + -1 = 5 3.5 + -7x = 5 + 6x Solving 3.5 + -7x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3.5 + -7x + -6x = 5 + 6x + -6x Combine like terms: -7x + -6x = -13x 3.5 + -13x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 3.5 + -13x = 5 + 0 3.5 + -13x = 5 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -13x = 5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -13x = 5 + -3.5 -13x = 5 + -3.5 Combine like terms: 5 + -3.5 = 1.5 -13x = 1.5 Divide each side by '-13'. x = -0.1153846154 Simplifying x = -0.1153846154
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