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Simplifying 4x + 14 + -32 = 16x + 8x + -8 Reorder the terms: 14 + -32 + 4x = 16x + 8x + -8 Combine like terms: 14 + -32 = -18 -18 + 4x = 16x + 8x + -8 Reorder the terms: -18 + 4x = -8 + 16x + 8x Combine like terms: 16x + 8x = 24x -18 + 4x = -8 + 24x Solving -18 + 4x = -8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -18 + 4x + -24x = -8 + 24x + -24x Combine like terms: 4x + -24x = -20x -18 + -20x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 -18 + -20x = -8 + 0 -18 + -20x = -8 Add '18' to each side of the equation. -18 + 18 + -20x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -20x = -8 + 18 -20x = -8 + 18 Combine like terms: -8 + 18 = 10 -20x = 10 Divide each side by '-20'. x = -0.5 Simplifying x = -0.5
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