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Simplifying 5(3x + -3) + 2 = 7x + 3 Reorder the terms: 5(-3 + 3x) + 2 = 7x + 3 (-3 * 5 + 3x * 5) + 2 = 7x + 3 (-15 + 15x) + 2 = 7x + 3 Reorder the terms: -15 + 2 + 15x = 7x + 3 Combine like terms: -15 + 2 = -13 -13 + 15x = 7x + 3 Reorder the terms: -13 + 15x = 3 + 7x Solving -13 + 15x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 15x + -7x = 3 + 7x + -7x Combine like terms: 15x + -7x = 8x -13 + 8x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 8x = 3 + 0 -13 + 8x = 3 Add '13' to each side of the equation. -13 + 13 + 8x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 3 + 13 8x = 3 + 13 Combine like terms: 3 + 13 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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