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Simplifying 7(2x + -3) + 3 = 5(x + 5) + -11 Reorder the terms: 7(-3 + 2x) + 3 = 5(x + 5) + -11 (-3 * 7 + 2x * 7) + 3 = 5(x + 5) + -11 (-21 + 14x) + 3 = 5(x + 5) + -11 Reorder the terms: -21 + 3 + 14x = 5(x + 5) + -11 Combine like terms: -21 + 3 = -18 -18 + 14x = 5(x + 5) + -11 Reorder the terms: -18 + 14x = 5(5 + x) + -11 -18 + 14x = (5 * 5 + x * 5) + -11 -18 + 14x = (25 + 5x) + -11 Reorder the terms: -18 + 14x = 25 + -11 + 5x Combine like terms: 25 + -11 = 14 -18 + 14x = 14 + 5x Solving -18 + 14x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 14x + -5x = 14 + 5x + -5x Combine like terms: 14x + -5x = 9x -18 + 9x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 9x = 14 + 0 -18 + 9x = 14 Add '18' to each side of the equation. -18 + 18 + 9x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 14 + 18 9x = 14 + 18 Combine like terms: 14 + 18 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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