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Simplifying -1x + 5 = 2(3x + 1) Reorder the terms: 5 + -1x = 2(3x + 1) Reorder the terms: 5 + -1x = 2(1 + 3x) 5 + -1x = (1 * 2 + 3x * 2) 5 + -1x = (2 + 6x) Solving 5 + -1x = 2 + 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. 5 + -1x + -6x = 2 + 6x + -6x Combine like terms: -1x + -6x = -7x 5 + -7x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -7x = 2 + 0 5 + -7x = 2 Add '-5' to each side of the equation. 5 + -5 + -7x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 2 + -5 -7x = 2 + -5 Combine like terms: 2 + -5 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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