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Simplifying 5(x + 3) + 2(x + -7) = 3x + -11 Reorder the terms: 5(3 + x) + 2(x + -7) = 3x + -11 (3 * 5 + x * 5) + 2(x + -7) = 3x + -11 (15 + 5x) + 2(x + -7) = 3x + -11 Reorder the terms: 15 + 5x + 2(-7 + x) = 3x + -11 15 + 5x + (-7 * 2 + x * 2) = 3x + -11 15 + 5x + (-14 + 2x) = 3x + -11 Reorder the terms: 15 + -14 + 5x + 2x = 3x + -11 Combine like terms: 15 + -14 = 1 1 + 5x + 2x = 3x + -11 Combine like terms: 5x + 2x = 7x 1 + 7x = 3x + -11 Reorder the terms: 1 + 7x = -11 + 3x Solving 1 + 7x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 7x + -3x = -11 + 3x + -3x Combine like terms: 7x + -3x = 4x 1 + 4x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 4x = -11 + 0 1 + 4x = -11 Add '-1' to each side of the equation. 1 + -1 + 4x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -11 + -1 4x = -11 + -1 Combine like terms: -11 + -1 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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