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Simplifying 5(2x + -6) + -2 = 5(x + -3) + -7 Reorder the terms: 5(-6 + 2x) + -2 = 5(x + -3) + -7 (-6 * 5 + 2x * 5) + -2 = 5(x + -3) + -7 (-30 + 10x) + -2 = 5(x + -3) + -7 Reorder the terms: -30 + -2 + 10x = 5(x + -3) + -7 Combine like terms: -30 + -2 = -32 -32 + 10x = 5(x + -3) + -7 Reorder the terms: -32 + 10x = 5(-3 + x) + -7 -32 + 10x = (-3 * 5 + x * 5) + -7 -32 + 10x = (-15 + 5x) + -7 Reorder the terms: -32 + 10x = -15 + -7 + 5x Combine like terms: -15 + -7 = -22 -32 + 10x = -22 + 5x Solving -32 + 10x = -22 + 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. -32 + 10x + -5x = -22 + 5x + -5x Combine like terms: 10x + -5x = 5x -32 + 5x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 5x = -22 + 0 -32 + 5x = -22 Add '32' to each side of the equation. -32 + 32 + 5x = -22 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = -22 + 32 5x = -22 + 32 Combine like terms: -22 + 32 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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