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Simplifying 5(x + -3) + 1 = 6x + -31 Reorder the terms: 5(-3 + x) + 1 = 6x + -31 (-3 * 5 + x * 5) + 1 = 6x + -31 (-15 + 5x) + 1 = 6x + -31 Reorder the terms: -15 + 1 + 5x = 6x + -31 Combine like terms: -15 + 1 = -14 -14 + 5x = 6x + -31 Reorder the terms: -14 + 5x = -31 + 6x Solving -14 + 5x = -31 + 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. -14 + 5x + -6x = -31 + 6x + -6x Combine like terms: 5x + -6x = -1x -14 + -1x = -31 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -1x = -31 + 0 -14 + -1x = -31 Add '14' to each side of the equation. -14 + 14 + -1x = -31 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -31 + 14 -1x = -31 + 14 Combine like terms: -31 + 14 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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