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Simplifying 5x + 3(x + -7) = 3x + 2 + -5 Reorder the terms: 5x + 3(-7 + x) = 3x + 2 + -5 5x + (-7 * 3 + x * 3) = 3x + 2 + -5 5x + (-21 + 3x) = 3x + 2 + -5 Reorder the terms: -21 + 5x + 3x = 3x + 2 + -5 Combine like terms: 5x + 3x = 8x -21 + 8x = 3x + 2 + -5 Reorder the terms: -21 + 8x = 2 + -5 + 3x Combine like terms: 2 + -5 = -3 -21 + 8x = -3 + 3x Solving -21 + 8x = -3 + 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. -21 + 8x + -3x = -3 + 3x + -3x Combine like terms: 8x + -3x = 5x -21 + 5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 5x = -3 + 0 -21 + 5x = -3 Add '21' to each side of the equation. -21 + 21 + 5x = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = -3 + 21 5x = -3 + 21 Combine like terms: -3 + 21 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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