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Simplifying 15(x + -2) + 2(5x + -8) + -3(11x + 1) + 73 = 0 Reorder the terms: 15(-2 + x) + 2(5x + -8) + -3(11x + 1) + 73 = 0 (-2 * 15 + x * 15) + 2(5x + -8) + -3(11x + 1) + 73 = 0 (-30 + 15x) + 2(5x + -8) + -3(11x + 1) + 73 = 0 Reorder the terms: -30 + 15x + 2(-8 + 5x) + -3(11x + 1) + 73 = 0 -30 + 15x + (-8 * 2 + 5x * 2) + -3(11x + 1) + 73 = 0 -30 + 15x + (-16 + 10x) + -3(11x + 1) + 73 = 0 Reorder the terms: -30 + 15x + -16 + 10x + -3(1 + 11x) + 73 = 0 -30 + 15x + -16 + 10x + (1 * -3 + 11x * -3) + 73 = 0 -30 + 15x + -16 + 10x + (-3 + -33x) + 73 = 0 Reorder the terms: -30 + -16 + -3 + 73 + 15x + 10x + -33x = 0 Combine like terms: -30 + -16 = -46 -46 + -3 + 73 + 15x + 10x + -33x = 0 Combine like terms: -46 + -3 = -49 -49 + 73 + 15x + 10x + -33x = 0 Combine like terms: -49 + 73 = 24 24 + 15x + 10x + -33x = 0 Combine like terms: 15x + 10x = 25x 24 + 25x + -33x = 0 Combine like terms: 25x + -33x = -8x 24 + -8x = 0 Solving 24 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 0 + -24 -8x = 0 + -24 Combine like terms: 0 + -24 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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