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Simplifying 4x + 32 = 2(3x + -1) Reorder the terms: 32 + 4x = 2(3x + -1) Reorder the terms: 32 + 4x = 2(-1 + 3x) 32 + 4x = (-1 * 2 + 3x * 2) 32 + 4x = (-2 + 6x) Solving 32 + 4x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + 4x + -6x = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x 32 + -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + -2x = -2 + 0 32 + -2x = -2 Add '-32' to each side of the equation. 32 + -32 + -2x = -2 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = -2 + -32 -2x = -2 + -32 Combine like terms: -2 + -32 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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