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Simplifying 7(x + -3) = 2(5) + -4(x + 5) Reorder the terms: 7(-3 + x) = 2(5) + -4(x + 5) (-3 * 7 + x * 7) = 2(5) + -4(x + 5) (-21 + 7x) = 2(5) + -4(x + 5) Multiply 2 * 5 -21 + 7x = 10 + -4(x + 5) Reorder the terms: -21 + 7x = 10 + -4(5 + x) -21 + 7x = 10 + (5 * -4 + x * -4) -21 + 7x = 10 + (-20 + -4x) Combine like terms: 10 + -20 = -10 -21 + 7x = -10 + -4x Solving -21 + 7x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -21 + 7x + 4x = -10 + -4x + 4x Combine like terms: 7x + 4x = 11x -21 + 11x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 11x = -10 + 0 -21 + 11x = -10 Add '21' to each side of the equation. -21 + 21 + 11x = -10 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = -10 + 21 11x = -10 + 21 Combine like terms: -10 + 21 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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