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Simplifying 8(x + 2 + -4x) + -9 = 41 + -3(-4x + 3) + 2x Reorder the terms: 8(2 + x + -4x) + -9 = 41 + -3(-4x + 3) + 2x Combine like terms: x + -4x = -3x 8(2 + -3x) + -9 = 41 + -3(-4x + 3) + 2x (2 * 8 + -3x * 8) + -9 = 41 + -3(-4x + 3) + 2x (16 + -24x) + -9 = 41 + -3(-4x + 3) + 2x Reorder the terms: 16 + -9 + -24x = 41 + -3(-4x + 3) + 2x Combine like terms: 16 + -9 = 7 7 + -24x = 41 + -3(-4x + 3) + 2x Reorder the terms: 7 + -24x = 41 + -3(3 + -4x) + 2x 7 + -24x = 41 + (3 * -3 + -4x * -3) + 2x 7 + -24x = 41 + (-9 + 12x) + 2x Combine like terms: 41 + -9 = 32 7 + -24x = 32 + 12x + 2x Combine like terms: 12x + 2x = 14x 7 + -24x = 32 + 14x Solving 7 + -24x = 32 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 7 + -24x + -14x = 32 + 14x + -14x Combine like terms: -24x + -14x = -38x 7 + -38x = 32 + 14x + -14x Combine like terms: 14x + -14x = 0 7 + -38x = 32 + 0 7 + -38x = 32 Add '-7' to each side of the equation. 7 + -7 + -38x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + -38x = 32 + -7 -38x = 32 + -7 Combine like terms: 32 + -7 = 25 -38x = 25 Divide each side by '-38'. x = -0.6578947368 Simplifying x = -0.6578947368
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