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Simplifying 3(x + -5) + -7 = -3x + 8 Reorder the terms: 3(-5 + x) + -7 = -3x + 8 (-5 * 3 + x * 3) + -7 = -3x + 8 (-15 + 3x) + -7 = -3x + 8 Reorder the terms: -15 + -7 + 3x = -3x + 8 Combine like terms: -15 + -7 = -22 -22 + 3x = -3x + 8 Reorder the terms: -22 + 3x = 8 + -3x Solving -22 + 3x = 8 + -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. -22 + 3x + 3x = 8 + -3x + 3x Combine like terms: 3x + 3x = 6x -22 + 6x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -22 + 6x = 8 + 0 -22 + 6x = 8 Add '22' to each side of the equation. -22 + 22 + 6x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 8 + 22 6x = 8 + 22 Combine like terms: 8 + 22 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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