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Simplifying 5 + 2(3x + -7) = 3x + 2(x + -8) Reorder the terms: 5 + 2(-7 + 3x) = 3x + 2(x + -8) 5 + (-7 * 2 + 3x * 2) = 3x + 2(x + -8) 5 + (-14 + 6x) = 3x + 2(x + -8) Combine like terms: 5 + -14 = -9 -9 + 6x = 3x + 2(x + -8) Reorder the terms: -9 + 6x = 3x + 2(-8 + x) -9 + 6x = 3x + (-8 * 2 + x * 2) -9 + 6x = 3x + (-16 + 2x) Reorder the terms: -9 + 6x = -16 + 3x + 2x Combine like terms: 3x + 2x = 5x -9 + 6x = -16 + 5x Solving -9 + 6x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 6x + -5x = -16 + 5x + -5x Combine like terms: 6x + -5x = 1x -9 + 1x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 1x = -16 + 0 -9 + 1x = -16 Add '9' to each side of the equation. -9 + 9 + 1x = -16 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -16 + 9 1x = -16 + 9 Combine like terms: -16 + 9 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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