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Simplifying 7(x + 3) + -1x = 4(x + 1) + 9 Reorder the terms: 7(3 + x) + -1x = 4(x + 1) + 9 (3 * 7 + x * 7) + -1x = 4(x + 1) + 9 (21 + 7x) + -1x = 4(x + 1) + 9 Combine like terms: 7x + -1x = 6x 21 + 6x = 4(x + 1) + 9 Reorder the terms: 21 + 6x = 4(1 + x) + 9 21 + 6x = (1 * 4 + x * 4) + 9 21 + 6x = (4 + 4x) + 9 Reorder the terms: 21 + 6x = 4 + 9 + 4x Combine like terms: 4 + 9 = 13 21 + 6x = 13 + 4x Solving 21 + 6x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 6x + -4x = 13 + 4x + -4x Combine like terms: 6x + -4x = 2x 21 + 2x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 2x = 13 + 0 21 + 2x = 13 Add '-21' to each side of the equation. 21 + -21 + 2x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 13 + -21 2x = 13 + -21 Combine like terms: 13 + -21 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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