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Simplifying 6(x + 4) + -1(x + 3) = x + 1 Reorder the terms: 6(4 + x) + -1(x + 3) = x + 1 (4 * 6 + x * 6) + -1(x + 3) = x + 1 (24 + 6x) + -1(x + 3) = x + 1 Reorder the terms: 24 + 6x + -1(3 + x) = x + 1 24 + 6x + (3 * -1 + x * -1) = x + 1 24 + 6x + (-3 + -1x) = x + 1 Reorder the terms: 24 + -3 + 6x + -1x = x + 1 Combine like terms: 24 + -3 = 21 21 + 6x + -1x = x + 1 Combine like terms: 6x + -1x = 5x 21 + 5x = x + 1 Reorder the terms: 21 + 5x = 1 + x Solving 21 + 5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + 5x + -1x = 1 + x + -1x Combine like terms: 5x + -1x = 4x 21 + 4x = 1 + x + -1x Combine like terms: x + -1x = 0 21 + 4x = 1 + 0 21 + 4x = 1 Add '-21' to each side of the equation. 21 + -21 + 4x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 1 + -21 4x = 1 + -21 Combine like terms: 1 + -21 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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