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Simplifying 1 + 3(x + -5) = 8 + -3(x + -2) Reorder the terms: 1 + 3(-5 + x) = 8 + -3(x + -2) 1 + (-5 * 3 + x * 3) = 8 + -3(x + -2) 1 + (-15 + 3x) = 8 + -3(x + -2) Combine like terms: 1 + -15 = -14 -14 + 3x = 8 + -3(x + -2) Reorder the terms: -14 + 3x = 8 + -3(-2 + x) -14 + 3x = 8 + (-2 * -3 + x * -3) -14 + 3x = 8 + (6 + -3x) Combine like terms: 8 + 6 = 14 -14 + 3x = 14 + -3x Solving -14 + 3x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 3x + 3x = 14 + -3x + 3x Combine like terms: 3x + 3x = 6x -14 + 6x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 6x = 14 + 0 -14 + 6x = 14 Add '14' to each side of the equation. -14 + 14 + 6x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 14 + 14 6x = 14 + 14 Combine like terms: 14 + 14 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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