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Simplifying 5(x + -3) + 8 = 14(x) + 2 Reorder the terms: 5(-3 + x) + 8 = 14(x) + 2 (-3 * 5 + x * 5) + 8 = 14(x) + 2 (-15 + 5x) + 8 = 14(x) + 2 Reorder the terms: -15 + 8 + 5x = 14(x) + 2 Combine like terms: -15 + 8 = -7 -7 + 5x = 14(x) + 2 Reorder the terms: -7 + 5x = 2 + 14x Solving -7 + 5x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -7 + 5x + -14x = 2 + 14x + -14x Combine like terms: 5x + -14x = -9x -7 + -9x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -7 + -9x = 2 + 0 -7 + -9x = 2 Add '7' to each side of the equation. -7 + 7 + -9x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 2 + 7 -9x = 2 + 7 Combine like terms: 2 + 7 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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