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Simplifying 15 + -5(2x + 7) = x + 3(3x + 11) + 2 Reorder the terms: 15 + -5(7 + 2x) = x + 3(3x + 11) + 2 15 + (7 * -5 + 2x * -5) = x + 3(3x + 11) + 2 15 + (-35 + -10x) = x + 3(3x + 11) + 2 Combine like terms: 15 + -35 = -20 -20 + -10x = x + 3(3x + 11) + 2 Reorder the terms: -20 + -10x = x + 3(11 + 3x) + 2 -20 + -10x = x + (11 * 3 + 3x * 3) + 2 -20 + -10x = x + (33 + 9x) + 2 Reorder the terms: -20 + -10x = 33 + 2 + x + 9x Combine like terms: 33 + 2 = 35 -20 + -10x = 35 + x + 9x Combine like terms: x + 9x = 10x -20 + -10x = 35 + 10x Solving -20 + -10x = 35 + 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. -20 + -10x + -10x = 35 + 10x + -10x Combine like terms: -10x + -10x = -20x -20 + -20x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -20x = 35 + 0 -20 + -20x = 35 Add '20' to each side of the equation. -20 + 20 + -20x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + -20x = 35 + 20 -20x = 35 + 20 Combine like terms: 35 + 20 = 55 -20x = 55 Divide each side by '-20'. x = -2.75 Simplifying x = -2.75
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