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Simplifying 7(x + -3) = 26 + -4(x + -2) Reorder the terms: 7(-3 + x) = 26 + -4(x + -2) (-3 * 7 + x * 7) = 26 + -4(x + -2) (-21 + 7x) = 26 + -4(x + -2) Reorder the terms: -21 + 7x = 26 + -4(-2 + x) -21 + 7x = 26 + (-2 * -4 + x * -4) -21 + 7x = 26 + (8 + -4x) Combine like terms: 26 + 8 = 34 -21 + 7x = 34 + -4x Solving -21 + 7x = 34 + -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 = 34 + -4x + 4x Combine like terms: 7x + 4x = 11x -21 + 11x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 11x = 34 + 0 -21 + 11x = 34 Add '21' to each side of the equation. -21 + 21 + 11x = 34 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 34 + 21 11x = 34 + 21 Combine like terms: 34 + 21 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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