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Simplifying 5(3x + -6) + -3 = 5(x + -3) + 2 Reorder the terms: 5(-6 + 3x) + -3 = 5(x + -3) + 2 (-6 * 5 + 3x * 5) + -3 = 5(x + -3) + 2 (-30 + 15x) + -3 = 5(x + -3) + 2 Reorder the terms: -30 + -3 + 15x = 5(x + -3) + 2 Combine like terms: -30 + -3 = -33 -33 + 15x = 5(x + -3) + 2 Reorder the terms: -33 + 15x = 5(-3 + x) + 2 -33 + 15x = (-3 * 5 + x * 5) + 2 -33 + 15x = (-15 + 5x) + 2 Reorder the terms: -33 + 15x = -15 + 2 + 5x Combine like terms: -15 + 2 = -13 -33 + 15x = -13 + 5x Solving -33 + 15x = -13 + 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. -33 + 15x + -5x = -13 + 5x + -5x Combine like terms: 15x + -5x = 10x -33 + 10x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 10x = -13 + 0 -33 + 10x = -13 Add '33' to each side of the equation. -33 + 33 + 10x = -13 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = -13 + 33 10x = -13 + 33 Combine like terms: -13 + 33 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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