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Simplifying 7x + -5(x + 6) = 2x + -1(x + -3) Reorder the terms: 7x + -5(6 + x) = 2x + -1(x + -3) 7x + (6 * -5 + x * -5) = 2x + -1(x + -3) 7x + (-30 + -5x) = 2x + -1(x + -3) Reorder the terms: -30 + 7x + -5x = 2x + -1(x + -3) Combine like terms: 7x + -5x = 2x -30 + 2x = 2x + -1(x + -3) Reorder the terms: -30 + 2x = 2x + -1(-3 + x) -30 + 2x = 2x + (-3 * -1 + x * -1) -30 + 2x = 2x + (3 + -1x) Reorder the terms: -30 + 2x = 3 + 2x + -1x Combine like terms: 2x + -1x = 1x -30 + 2x = 3 + 1x Solving -30 + 2x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + 2x + -1x = 3 + 1x + -1x Combine like terms: 2x + -1x = 1x -30 + 1x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -30 + 1x = 3 + 0 -30 + 1x = 3 Add '30' to each side of the equation. -30 + 30 + 1x = 3 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 3 + 30 1x = 3 + 30 Combine like terms: 3 + 30 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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