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Simplifying 5(3x + -3) + 2(9 + -5x) + -2(2x + 3) = -3 Reorder the terms: 5(-3 + 3x) + 2(9 + -5x) + -2(2x + 3) = -3 (-3 * 5 + 3x * 5) + 2(9 + -5x) + -2(2x + 3) = -3 (-15 + 15x) + 2(9 + -5x) + -2(2x + 3) = -3 -15 + 15x + (9 * 2 + -5x * 2) + -2(2x + 3) = -3 -15 + 15x + (18 + -10x) + -2(2x + 3) = -3 Reorder the terms: -15 + 15x + 18 + -10x + -2(3 + 2x) = -3 -15 + 15x + 18 + -10x + (3 * -2 + 2x * -2) = -3 -15 + 15x + 18 + -10x + (-6 + -4x) = -3 Reorder the terms: -15 + 18 + -6 + 15x + -10x + -4x = -3 Combine like terms: -15 + 18 = 3 3 + -6 + 15x + -10x + -4x = -3 Combine like terms: 3 + -6 = -3 -3 + 15x + -10x + -4x = -3 Combine like terms: 15x + -10x = 5x -3 + 5x + -4x = -3 Combine like terms: 5x + -4x = 1x -3 + 1x = -3 Add '3' to each side of the equation. -3 + 3 + 1x = -3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -3 + 3 1x = -3 + 3 Combine like terms: -3 + 3 = 0 1x = 0 Solving 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '1'. x = 0 Simplifying x = 0
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