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Simplifying 3(x + -9) + 4 = 8(4 + -8x) Reorder the terms: 3(-9 + x) + 4 = 8(4 + -8x) (-9 * 3 + x * 3) + 4 = 8(4 + -8x) (-27 + 3x) + 4 = 8(4 + -8x) Reorder the terms: -27 + 4 + 3x = 8(4 + -8x) Combine like terms: -27 + 4 = -23 -23 + 3x = 8(4 + -8x) -23 + 3x = (4 * 8 + -8x * 8) -23 + 3x = (32 + -64x) Solving -23 + 3x = 32 + -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. -23 + 3x + 64x = 32 + -64x + 64x Combine like terms: 3x + 64x = 67x -23 + 67x = 32 + -64x + 64x Combine like terms: -64x + 64x = 0 -23 + 67x = 32 + 0 -23 + 67x = 32 Add '23' to each side of the equation. -23 + 23 + 67x = 32 + 23 Combine like terms: -23 + 23 = 0 0 + 67x = 32 + 23 67x = 32 + 23 Combine like terms: 32 + 23 = 55 67x = 55 Divide each side by '67'. x = 0.8208955224 Simplifying x = 0.8208955224
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