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Simplifying 21(8x + -5) + -84 = 8(4x + 6) Reorder the terms: 21(-5 + 8x) + -84 = 8(4x + 6) (-5 * 21 + 8x * 21) + -84 = 8(4x + 6) (-105 + 168x) + -84 = 8(4x + 6) Reorder the terms: -105 + -84 + 168x = 8(4x + 6) Combine like terms: -105 + -84 = -189 -189 + 168x = 8(4x + 6) Reorder the terms: -189 + 168x = 8(6 + 4x) -189 + 168x = (6 * 8 + 4x * 8) -189 + 168x = (48 + 32x) Solving -189 + 168x = 48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -189 + 168x + -32x = 48 + 32x + -32x Combine like terms: 168x + -32x = 136x -189 + 136x = 48 + 32x + -32x Combine like terms: 32x + -32x = 0 -189 + 136x = 48 + 0 -189 + 136x = 48 Add '189' to each side of the equation. -189 + 189 + 136x = 48 + 189 Combine like terms: -189 + 189 = 0 0 + 136x = 48 + 189 136x = 48 + 189 Combine like terms: 48 + 189 = 237 136x = 237 Divide each side by '136'. x = 1.742647059 Simplifying x = 1.742647059
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