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Simplifying 3(5x + -3) + 2 = 13x + -3 Reorder the terms: 3(-3 + 5x) + 2 = 13x + -3 (-3 * 3 + 5x * 3) + 2 = 13x + -3 (-9 + 15x) + 2 = 13x + -3 Reorder the terms: -9 + 2 + 15x = 13x + -3 Combine like terms: -9 + 2 = -7 -7 + 15x = 13x + -3 Reorder the terms: -7 + 15x = -3 + 13x Solving -7 + 15x = -3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -7 + 15x + -13x = -3 + 13x + -13x Combine like terms: 15x + -13x = 2x -7 + 2x = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 -7 + 2x = -3 + 0 -7 + 2x = -3 Add '7' to each side of the equation. -7 + 7 + 2x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -3 + 7 2x = -3 + 7 Combine like terms: -3 + 7 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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