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Simplifying 2(-1x + 31) = 2(2x + 14) + 3 Reorder the terms: 2(31 + -1x) = 2(2x + 14) + 3 (31 * 2 + -1x * 2) = 2(2x + 14) + 3 (62 + -2x) = 2(2x + 14) + 3 Reorder the terms: 62 + -2x = 2(14 + 2x) + 3 62 + -2x = (14 * 2 + 2x * 2) + 3 62 + -2x = (28 + 4x) + 3 Reorder the terms: 62 + -2x = 28 + 3 + 4x Combine like terms: 28 + 3 = 31 62 + -2x = 31 + 4x Solving 62 + -2x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 62 + -2x + -4x = 31 + 4x + -4x Combine like terms: -2x + -4x = -6x 62 + -6x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 62 + -6x = 31 + 0 62 + -6x = 31 Add '-62' to each side of the equation. 62 + -62 + -6x = 31 + -62 Combine like terms: 62 + -62 = 0 0 + -6x = 31 + -62 -6x = 31 + -62 Combine like terms: 31 + -62 = -31 -6x = -31 Divide each side by '-6'. x = 5.166666667 Simplifying x = 5.166666667
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