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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 = 27 27 + 6x + -1x = x + -1 Combine like terms: 6x + -1x = 5x 27 + 5x = x + -1 Reorder the terms: 27 + 5x = -1 + x Solving 27 + 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. 27 + 5x + -1x = -1 + x + -1x Combine like terms: 5x + -1x = 4x 27 + 4x = -1 + x + -1x Combine like terms: x + -1x = 0 27 + 4x = -1 + 0 27 + 4x = -1 Add '-27' to each side of the equation. 27 + -27 + 4x = -1 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = -1 + -27 4x = -1 + -27 Combine like terms: -1 + -27 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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