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Simplifying 12(4x + 8) + -2 = 14(8x + 8) Reorder the terms: 12(8 + 4x) + -2 = 14(8x + 8) (8 * 12 + 4x * 12) + -2 = 14(8x + 8) (96 + 48x) + -2 = 14(8x + 8) Reorder the terms: 96 + -2 + 48x = 14(8x + 8) Combine like terms: 96 + -2 = 94 94 + 48x = 14(8x + 8) Reorder the terms: 94 + 48x = 14(8 + 8x) 94 + 48x = (8 * 14 + 8x * 14) 94 + 48x = (112 + 112x) Solving 94 + 48x = 112 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 94 + 48x + -112x = 112 + 112x + -112x Combine like terms: 48x + -112x = -64x 94 + -64x = 112 + 112x + -112x Combine like terms: 112x + -112x = 0 94 + -64x = 112 + 0 94 + -64x = 112 Add '-94' to each side of the equation. 94 + -94 + -64x = 112 + -94 Combine like terms: 94 + -94 = 0 0 + -64x = 112 + -94 -64x = 112 + -94 Combine like terms: 112 + -94 = 18 -64x = 18 Divide each side by '-64'. x = -0.28125 Simplifying x = -0.28125
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