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Simplifying 64(x + -5 + 1) = 36(x + -5 + 8) Reorder the terms: 64(-5 + 1 + x) = 36(x + -5 + 8) Combine like terms: -5 + 1 = -4 64(-4 + x) = 36(x + -5 + 8) (-4 * 64 + x * 64) = 36(x + -5 + 8) (-256 + 64x) = 36(x + -5 + 8) Reorder the terms: -256 + 64x = 36(-5 + 8 + x) Combine like terms: -5 + 8 = 3 -256 + 64x = 36(3 + x) -256 + 64x = (3 * 36 + x * 36) -256 + 64x = (108 + 36x) Solving -256 + 64x = 108 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -256 + 64x + -36x = 108 + 36x + -36x Combine like terms: 64x + -36x = 28x -256 + 28x = 108 + 36x + -36x Combine like terms: 36x + -36x = 0 -256 + 28x = 108 + 0 -256 + 28x = 108 Add '256' to each side of the equation. -256 + 256 + 28x = 108 + 256 Combine like terms: -256 + 256 = 0 0 + 28x = 108 + 256 28x = 108 + 256 Combine like terms: 108 + 256 = 364 28x = 364 Divide each side by '28'. x = 13 Simplifying x = 13
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