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Simplifying 6(3x + 6) + -4(x + -1) = 5x + -24 + x Reorder the terms: 6(6 + 3x) + -4(x + -1) = 5x + -24 + x (6 * 6 + 3x * 6) + -4(x + -1) = 5x + -24 + x (36 + 18x) + -4(x + -1) = 5x + -24 + x Reorder the terms: 36 + 18x + -4(-1 + x) = 5x + -24 + x 36 + 18x + (-1 * -4 + x * -4) = 5x + -24 + x 36 + 18x + (4 + -4x) = 5x + -24 + x Reorder the terms: 36 + 4 + 18x + -4x = 5x + -24 + x Combine like terms: 36 + 4 = 40 40 + 18x + -4x = 5x + -24 + x Combine like terms: 18x + -4x = 14x 40 + 14x = 5x + -24 + x Reorder the terms: 40 + 14x = -24 + 5x + x Combine like terms: 5x + x = 6x 40 + 14x = -24 + 6x Solving 40 + 14x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + 14x + -6x = -24 + 6x + -6x Combine like terms: 14x + -6x = 8x 40 + 8x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 8x = -24 + 0 40 + 8x = -24 Add '-40' to each side of the equation. 40 + -40 + 8x = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = -24 + -40 8x = -24 + -40 Combine like terms: -24 + -40 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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