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Simplifying 7x + -3(2x + 5) = -1(x + 3) + 6 Reorder the terms: 7x + -3(5 + 2x) = -1(x + 3) + 6 7x + (5 * -3 + 2x * -3) = -1(x + 3) + 6 7x + (-15 + -6x) = -1(x + 3) + 6 Reorder the terms: -15 + 7x + -6x = -1(x + 3) + 6 Combine like terms: 7x + -6x = 1x -15 + 1x = -1(x + 3) + 6 Reorder the terms: -15 + 1x = -1(3 + x) + 6 -15 + 1x = (3 * -1 + x * -1) + 6 -15 + 1x = (-3 + -1x) + 6 Reorder the terms: -15 + 1x = -3 + 6 + -1x Combine like terms: -3 + 6 = 3 -15 + 1x = 3 + -1x Solving -15 + 1x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 1x + x = 3 + -1x + x Combine like terms: 1x + x = 2x -15 + 2x = 3 + -1x + x Combine like terms: -1x + x = 0 -15 + 2x = 3 + 0 -15 + 2x = 3 Add '15' to each side of the equation. -15 + 15 + 2x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 3 + 15 2x = 3 + 15 Combine like terms: 3 + 15 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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