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Simplifying 2 + -7(x + 1) = 3(x + -2) + -5(x + 3) Reorder the terms: 2 + -7(1 + x) = 3(x + -2) + -5(x + 3) 2 + (1 * -7 + x * -7) = 3(x + -2) + -5(x + 3) 2 + (-7 + -7x) = 3(x + -2) + -5(x + 3) Combine like terms: 2 + -7 = -5 -5 + -7x = 3(x + -2) + -5(x + 3) Reorder the terms: -5 + -7x = 3(-2 + x) + -5(x + 3) -5 + -7x = (-2 * 3 + x * 3) + -5(x + 3) -5 + -7x = (-6 + 3x) + -5(x + 3) Reorder the terms: -5 + -7x = -6 + 3x + -5(3 + x) -5 + -7x = -6 + 3x + (3 * -5 + x * -5) -5 + -7x = -6 + 3x + (-15 + -5x) Reorder the terms: -5 + -7x = -6 + -15 + 3x + -5x Combine like terms: -6 + -15 = -21 -5 + -7x = -21 + 3x + -5x Combine like terms: 3x + -5x = -2x -5 + -7x = -21 + -2x Solving -5 + -7x = -21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + -7x + 2x = -21 + -2x + 2x Combine like terms: -7x + 2x = -5x -5 + -5x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -5x = -21 + 0 -5 + -5x = -21 Add '5' to each side of the equation. -5 + 5 + -5x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -21 + 5 -5x = -21 + 5 Combine like terms: -21 + 5 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2
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