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Simplifying 7(x + -2) + 8 = 3(2x + 3) Reorder the terms: 7(-2 + x) + 8 = 3(2x + 3) (-2 * 7 + x * 7) + 8 = 3(2x + 3) (-14 + 7x) + 8 = 3(2x + 3) Reorder the terms: -14 + 8 + 7x = 3(2x + 3) Combine like terms: -14 + 8 = -6 -6 + 7x = 3(2x + 3) Reorder the terms: -6 + 7x = 3(3 + 2x) -6 + 7x = (3 * 3 + 2x * 3) -6 + 7x = (9 + 6x) Solving -6 + 7x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 7x + -6x = 9 + 6x + -6x Combine like terms: 7x + -6x = 1x -6 + 1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 1x = 9 + 0 -6 + 1x = 9 Add '6' to each side of the equation. -6 + 6 + 1x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 9 + 6 1x = 9 + 6 Combine like terms: 9 + 6 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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