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Simplifying 4x + 32 = 8x + -1x + 14 Reorder the terms: 32 + 4x = 8x + -1x + 14 Reorder the terms: 32 + 4x = 14 + 8x + -1x Combine like terms: 8x + -1x = 7x 32 + 4x = 14 + 7x Solving 32 + 4x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32 + 4x + -7x = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x 32 + -3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -3x = 14 + 0 32 + -3x = 14 Add '-32' to each side of the equation. 32 + -32 + -3x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = 14 + -32 -3x = 14 + -32 Combine like terms: 14 + -32 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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