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Simplifying 3(x + 5) + -2(x + -3) = 11 + -1(7 + -2x) Reorder the terms: 3(5 + x) + -2(x + -3) = 11 + -1(7 + -2x) (5 * 3 + x * 3) + -2(x + -3) = 11 + -1(7 + -2x) (15 + 3x) + -2(x + -3) = 11 + -1(7 + -2x) Reorder the terms: 15 + 3x + -2(-3 + x) = 11 + -1(7 + -2x) 15 + 3x + (-3 * -2 + x * -2) = 11 + -1(7 + -2x) 15 + 3x + (6 + -2x) = 11 + -1(7 + -2x) Reorder the terms: 15 + 6 + 3x + -2x = 11 + -1(7 + -2x) Combine like terms: 15 + 6 = 21 21 + 3x + -2x = 11 + -1(7 + -2x) Combine like terms: 3x + -2x = 1x 21 + 1x = 11 + -1(7 + -2x) 21 + 1x = 11 + (7 * -1 + -2x * -1) 21 + 1x = 11 + (-7 + 2x) Combine like terms: 11 + -7 = 4 21 + 1x = 4 + 2x Solving 21 + 1x = 4 + 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. 21 + 1x + -2x = 4 + 2x + -2x Combine like terms: 1x + -2x = -1x 21 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -1x = 4 + 0 21 + -1x = 4 Add '-21' to each side of the equation. 21 + -21 + -1x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 4 + -21 -1x = 4 + -21 Combine like terms: 4 + -21 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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