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Simplifying 8x + 14 = 6(4x + -3) Reorder the terms: 14 + 8x = 6(4x + -3) Reorder the terms: 14 + 8x = 6(-3 + 4x) 14 + 8x = (-3 * 6 + 4x * 6) 14 + 8x = (-18 + 24x) Solving 14 + 8x = -18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 14 + 8x + -24x = -18 + 24x + -24x Combine like terms: 8x + -24x = -16x 14 + -16x = -18 + 24x + -24x Combine like terms: 24x + -24x = 0 14 + -16x = -18 + 0 14 + -16x = -18 Add '-14' to each side of the equation. 14 + -14 + -16x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -18 + -14 -16x = -18 + -14 Combine like terms: -18 + -14 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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