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Simplifying 7(4x + 5) = 5 + 8(8x + -4) Reorder the terms: 7(5 + 4x) = 5 + 8(8x + -4) (5 * 7 + 4x * 7) = 5 + 8(8x + -4) (35 + 28x) = 5 + 8(8x + -4) Reorder the terms: 35 + 28x = 5 + 8(-4 + 8x) 35 + 28x = 5 + (-4 * 8 + 8x * 8) 35 + 28x = 5 + (-32 + 64x) Combine like terms: 5 + -32 = -27 35 + 28x = -27 + 64x Solving 35 + 28x = -27 + 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. 35 + 28x + -64x = -27 + 64x + -64x Combine like terms: 28x + -64x = -36x 35 + -36x = -27 + 64x + -64x Combine like terms: 64x + -64x = 0 35 + -36x = -27 + 0 35 + -36x = -27 Add '-35' to each side of the equation. 35 + -35 + -36x = -27 + -35 Combine like terms: 35 + -35 = 0 0 + -36x = -27 + -35 -36x = -27 + -35 Combine like terms: -27 + -35 = -62 -36x = -62 Divide each side by '-36'. x = 1.722222222 Simplifying x = 1.722222222
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