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Simplifying 7(x + -3) = 9(x + 1) + -38 Reorder the terms: 7(-3 + x) = 9(x + 1) + -38 (-3 * 7 + x * 7) = 9(x + 1) + -38 (-21 + 7x) = 9(x + 1) + -38 Reorder the terms: -21 + 7x = 9(1 + x) + -38 -21 + 7x = (1 * 9 + x * 9) + -38 -21 + 7x = (9 + 9x) + -38 Reorder the terms: -21 + 7x = 9 + -38 + 9x Combine like terms: 9 + -38 = -29 -21 + 7x = -29 + 9x Solving -21 + 7x = -29 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + 7x + -9x = -29 + 9x + -9x Combine like terms: 7x + -9x = -2x -21 + -2x = -29 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -2x = -29 + 0 -21 + -2x = -29 Add '21' to each side of the equation. -21 + 21 + -2x = -29 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = -29 + 21 -2x = -29 + 21 Combine like terms: -29 + 21 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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