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Simplifying 6(x + 4) + -1(-9x + -8) = 14x Reorder the terms: 6(4 + x) + -1(-9x + -8) = 14x (4 * 6 + x * 6) + -1(-9x + -8) = 14x (24 + 6x) + -1(-9x + -8) = 14x Reorder the terms: 24 + 6x + -1(-8 + -9x) = 14x 24 + 6x + (-8 * -1 + -9x * -1) = 14x 24 + 6x + (8 + 9x) = 14x Reorder the terms: 24 + 8 + 6x + 9x = 14x Combine like terms: 24 + 8 = 32 32 + 6x + 9x = 14x Combine like terms: 6x + 9x = 15x 32 + 15x = 14x Solving 32 + 15x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 32 + 15x + -14x = 14x + -14x Combine like terms: 15x + -14x = 1x 32 + 1x = 14x + -14x Combine like terms: 14x + -14x = 0 32 + 1x = 0 Add '-32' to each side of the equation. 32 + -32 + 1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 0 + -32 1x = 0 + -32 Combine like terms: 0 + -32 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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