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Simplifying 7(x + 3) = 9(x + -4) + -1 Reorder the terms: 7(3 + x) = 9(x + -4) + -1 (3 * 7 + x * 7) = 9(x + -4) + -1 (21 + 7x) = 9(x + -4) + -1 Reorder the terms: 21 + 7x = 9(-4 + x) + -1 21 + 7x = (-4 * 9 + x * 9) + -1 21 + 7x = (-36 + 9x) + -1 Reorder the terms: 21 + 7x = -36 + -1 + 9x Combine like terms: -36 + -1 = -37 21 + 7x = -37 + 9x Solving 21 + 7x = -37 + 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 = -37 + 9x + -9x Combine like terms: 7x + -9x = -2x 21 + -2x = -37 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -2x = -37 + 0 21 + -2x = -37 Add '-21' to each side of the equation. 21 + -21 + -2x = -37 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -37 + -21 -2x = -37 + -21 Combine like terms: -37 + -21 = -58 -2x = -58 Divide each side by '-2'. x = 29 Simplifying x = 29
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