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Simplifying 4(x + 3) + -6(2x + -1) = 3(2x + -8) Reorder the terms: 4(3 + x) + -6(2x + -1) = 3(2x + -8) (3 * 4 + x * 4) + -6(2x + -1) = 3(2x + -8) (12 + 4x) + -6(2x + -1) = 3(2x + -8) Reorder the terms: 12 + 4x + -6(-1 + 2x) = 3(2x + -8) 12 + 4x + (-1 * -6 + 2x * -6) = 3(2x + -8) 12 + 4x + (6 + -12x) = 3(2x + -8) Reorder the terms: 12 + 6 + 4x + -12x = 3(2x + -8) Combine like terms: 12 + 6 = 18 18 + 4x + -12x = 3(2x + -8) Combine like terms: 4x + -12x = -8x 18 + -8x = 3(2x + -8) Reorder the terms: 18 + -8x = 3(-8 + 2x) 18 + -8x = (-8 * 3 + 2x * 3) 18 + -8x = (-24 + 6x) Solving 18 + -8x = -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. 18 + -8x + -6x = -24 + 6x + -6x Combine like terms: -8x + -6x = -14x 18 + -14x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -14x = -24 + 0 18 + -14x = -24 Add '-18' to each side of the equation. 18 + -18 + -14x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -14x = -24 + -18 -14x = -24 + -18 Combine like terms: -24 + -18 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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