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Simplifying 2(4x + 8) + -5(15x + -45) = 8(8x + 48) Reorder the terms: 2(8 + 4x) + -5(15x + -45) = 8(8x + 48) (8 * 2 + 4x * 2) + -5(15x + -45) = 8(8x + 48) (16 + 8x) + -5(15x + -45) = 8(8x + 48) Reorder the terms: 16 + 8x + -5(-45 + 15x) = 8(8x + 48) 16 + 8x + (-45 * -5 + 15x * -5) = 8(8x + 48) 16 + 8x + (225 + -75x) = 8(8x + 48) Reorder the terms: 16 + 225 + 8x + -75x = 8(8x + 48) Combine like terms: 16 + 225 = 241 241 + 8x + -75x = 8(8x + 48) Combine like terms: 8x + -75x = -67x 241 + -67x = 8(8x + 48) Reorder the terms: 241 + -67x = 8(48 + 8x) 241 + -67x = (48 * 8 + 8x * 8) 241 + -67x = (384 + 64x) Solving 241 + -67x = 384 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 241 + -67x + -64x = 384 + 64x + -64x Combine like terms: -67x + -64x = -131x 241 + -131x = 384 + 64x + -64x Combine like terms: 64x + -64x = 0 241 + -131x = 384 + 0 241 + -131x = 384 Add '-241' to each side of the equation. 241 + -241 + -131x = 384 + -241 Combine like terms: 241 + -241 = 0 0 + -131x = 384 + -241 -131x = 384 + -241 Combine like terms: 384 + -241 = 143 -131x = 143 Divide each side by '-131'. x = -1.091603053 Simplifying x = -1.091603053
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