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Simplifying 2x + -1(9 + 3x) * 3 = 5(2x + 16) + -5 Reorder the terms for easier multiplication: 2x + -1 * 3(9 + 3x) = 5(2x + 16) + -5 Multiply -1 * 3 2x + -3(9 + 3x) = 5(2x + 16) + -5 2x + (9 * -3 + 3x * -3) = 5(2x + 16) + -5 2x + (-27 + -9x) = 5(2x + 16) + -5 Reorder the terms: -27 + 2x + -9x = 5(2x + 16) + -5 Combine like terms: 2x + -9x = -7x -27 + -7x = 5(2x + 16) + -5 Reorder the terms: -27 + -7x = 5(16 + 2x) + -5 -27 + -7x = (16 * 5 + 2x * 5) + -5 -27 + -7x = (80 + 10x) + -5 Reorder the terms: -27 + -7x = 80 + -5 + 10x Combine like terms: 80 + -5 = 75 -27 + -7x = 75 + 10x Solving -27 + -7x = 75 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -27 + -7x + -10x = 75 + 10x + -10x Combine like terms: -7x + -10x = -17x -27 + -17x = 75 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + -17x = 75 + 0 -27 + -17x = 75 Add '27' to each side of the equation. -27 + 27 + -17x = 75 + 27 Combine like terms: -27 + 27 = 0 0 + -17x = 75 + 27 -17x = 75 + 27 Combine like terms: 75 + 27 = 102 -17x = 102 Divide each side by '-17'. x = -6 Simplifying x = -6
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