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Simplifying 5(3x + -6) + -2 = 5(x + -3) + 13 Reorder the terms: 5(-6 + 3x) + -2 = 5(x + -3) + 13 (-6 * 5 + 3x * 5) + -2 = 5(x + -3) + 13 (-30 + 15x) + -2 = 5(x + -3) + 13 Reorder the terms: -30 + -2 + 15x = 5(x + -3) + 13 Combine like terms: -30 + -2 = -32 -32 + 15x = 5(x + -3) + 13 Reorder the terms: -32 + 15x = 5(-3 + x) + 13 -32 + 15x = (-3 * 5 + x * 5) + 13 -32 + 15x = (-15 + 5x) + 13 Reorder the terms: -32 + 15x = -15 + 13 + 5x Combine like terms: -15 + 13 = -2 -32 + 15x = -2 + 5x Solving -32 + 15x = -2 + 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 + 15x + -5x = -2 + 5x + -5x Combine like terms: 15x + -5x = 10x -32 + 10x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 10x = -2 + 0 -32 + 10x = -2 Add '32' to each side of the equation. -32 + 32 + 10x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = -2 + 32 10x = -2 + 32 Combine like terms: -2 + 32 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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