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Simplifying 3(5x + -2) + -9(7 + -9x) + 3(-5x + 9) = -5(6 + -10x) Reorder the terms: 3(-2 + 5x) + -9(7 + -9x) + 3(-5x + 9) = -5(6 + -10x) (-2 * 3 + 5x * 3) + -9(7 + -9x) + 3(-5x + 9) = -5(6 + -10x) (-6 + 15x) + -9(7 + -9x) + 3(-5x + 9) = -5(6 + -10x) -6 + 15x + (7 * -9 + -9x * -9) + 3(-5x + 9) = -5(6 + -10x) -6 + 15x + (-63 + 81x) + 3(-5x + 9) = -5(6 + -10x) Reorder the terms: -6 + 15x + -63 + 81x + 3(9 + -5x) = -5(6 + -10x) -6 + 15x + -63 + 81x + (9 * 3 + -5x * 3) = -5(6 + -10x) -6 + 15x + -63 + 81x + (27 + -15x) = -5(6 + -10x) Reorder the terms: -6 + -63 + 27 + 15x + 81x + -15x = -5(6 + -10x) Combine like terms: -6 + -63 = -69 -69 + 27 + 15x + 81x + -15x = -5(6 + -10x) Combine like terms: -69 + 27 = -42 -42 + 15x + 81x + -15x = -5(6 + -10x) Combine like terms: 15x + 81x = 96x -42 + 96x + -15x = -5(6 + -10x) Combine like terms: 96x + -15x = 81x -42 + 81x = -5(6 + -10x) -42 + 81x = (6 * -5 + -10x * -5) -42 + 81x = (-30 + 50x) Solving -42 + 81x = -30 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -42 + 81x + -50x = -30 + 50x + -50x Combine like terms: 81x + -50x = 31x -42 + 31x = -30 + 50x + -50x Combine like terms: 50x + -50x = 0 -42 + 31x = -30 + 0 -42 + 31x = -30 Add '42' to each side of the equation. -42 + 42 + 31x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 31x = -30 + 42 31x = -30 + 42 Combine like terms: -30 + 42 = 12 31x = 12 Divide each side by '31'. x = 0.3870967742 Simplifying x = 0.3870967742
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