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Simplifying 7(2x + -3) + -1 = 5(x + 10) Reorder the terms: 7(-3 + 2x) + -1 = 5(x + 10) (-3 * 7 + 2x * 7) + -1 = 5(x + 10) (-21 + 14x) + -1 = 5(x + 10) Reorder the terms: -21 + -1 + 14x = 5(x + 10) Combine like terms: -21 + -1 = -22 -22 + 14x = 5(x + 10) Reorder the terms: -22 + 14x = 5(10 + x) -22 + 14x = (10 * 5 + x * 5) -22 + 14x = (50 + 5x) Solving -22 + 14x = 50 + 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. -22 + 14x + -5x = 50 + 5x + -5x Combine like terms: 14x + -5x = 9x -22 + 9x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + 9x = 50 + 0 -22 + 9x = 50 Add '22' to each side of the equation. -22 + 22 + 9x = 50 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = 50 + 22 9x = 50 + 22 Combine like terms: 50 + 22 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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