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Simplifying 5(3x + -3) + -2(6 + -3x) = 13x + -3 Reorder the terms: 5(-3 + 3x) + -2(6 + -3x) = 13x + -3 (-3 * 5 + 3x * 5) + -2(6 + -3x) = 13x + -3 (-15 + 15x) + -2(6 + -3x) = 13x + -3 -15 + 15x + (6 * -2 + -3x * -2) = 13x + -3 -15 + 15x + (-12 + 6x) = 13x + -3 Reorder the terms: -15 + -12 + 15x + 6x = 13x + -3 Combine like terms: -15 + -12 = -27 -27 + 15x + 6x = 13x + -3 Combine like terms: 15x + 6x = 21x -27 + 21x = 13x + -3 Reorder the terms: -27 + 21x = -3 + 13x Solving -27 + 21x = -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. -27 + 21x + -13x = -3 + 13x + -13x Combine like terms: 21x + -13x = 8x -27 + 8x = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 -27 + 8x = -3 + 0 -27 + 8x = -3 Add '27' to each side of the equation. -27 + 27 + 8x = -3 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = -3 + 27 8x = -3 + 27 Combine like terms: -3 + 27 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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