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Simplifying 3(x + 1) + -5(x + 2) = 7(x + -3) Reorder the terms: 3(1 + x) + -5(x + 2) = 7(x + -3) (1 * 3 + x * 3) + -5(x + 2) = 7(x + -3) (3 + 3x) + -5(x + 2) = 7(x + -3) Reorder the terms: 3 + 3x + -5(2 + x) = 7(x + -3) 3 + 3x + (2 * -5 + x * -5) = 7(x + -3) 3 + 3x + (-10 + -5x) = 7(x + -3) Reorder the terms: 3 + -10 + 3x + -5x = 7(x + -3) Combine like terms: 3 + -10 = -7 -7 + 3x + -5x = 7(x + -3) Combine like terms: 3x + -5x = -2x -7 + -2x = 7(x + -3) Reorder the terms: -7 + -2x = 7(-3 + x) -7 + -2x = (-3 * 7 + x * 7) -7 + -2x = (-21 + 7x) Solving -7 + -2x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + -2x + -7x = -21 + 7x + -7x Combine like terms: -2x + -7x = -9x -7 + -9x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -9x = -21 + 0 -7 + -9x = -21 Add '7' to each side of the equation. -7 + 7 + -9x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = -21 + 7 -9x = -21 + 7 Combine like terms: -21 + 7 = -14 -9x = -14 Divide each side by '-9'. x = 1.555555556 Simplifying x = 1.555555556
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