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Simplifying 5(3x + -3) + 3(2x + -2) = 3x + -75 Reorder the terms: 5(-3 + 3x) + 3(2x + -2) = 3x + -75 (-3 * 5 + 3x * 5) + 3(2x + -2) = 3x + -75 (-15 + 15x) + 3(2x + -2) = 3x + -75 Reorder the terms: -15 + 15x + 3(-2 + 2x) = 3x + -75 -15 + 15x + (-2 * 3 + 2x * 3) = 3x + -75 -15 + 15x + (-6 + 6x) = 3x + -75 Reorder the terms: -15 + -6 + 15x + 6x = 3x + -75 Combine like terms: -15 + -6 = -21 -21 + 15x + 6x = 3x + -75 Combine like terms: 15x + 6x = 21x -21 + 21x = 3x + -75 Reorder the terms: -21 + 21x = -75 + 3x Solving -21 + 21x = -75 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + 21x + -3x = -75 + 3x + -3x Combine like terms: 21x + -3x = 18x -21 + 18x = -75 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 18x = -75 + 0 -21 + 18x = -75 Add '21' to each side of the equation. -21 + 21 + 18x = -75 + 21 Combine like terms: -21 + 21 = 0 0 + 18x = -75 + 21 18x = -75 + 21 Combine like terms: -75 + 21 = -54 18x = -54 Divide each side by '18'. x = -3 Simplifying x = -3
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