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Simplifying 7 + -1(x + 6) + 4x = -32 + 2x Reorder the terms: 7 + -1(6 + x) + 4x = -32 + 2x 7 + (6 * -1 + x * -1) + 4x = -32 + 2x 7 + (-6 + -1x) + 4x = -32 + 2x Combine like terms: 7 + -6 = 1 1 + -1x + 4x = -32 + 2x Combine like terms: -1x + 4x = 3x 1 + 3x = -32 + 2x Solving 1 + 3x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 3x + -2x = -32 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = -32 + 0 1 + 1x = -32 Add '-1' to each side of the equation. 1 + -1 + 1x = -32 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -32 + -1 1x = -32 + -1 Combine like terms: -32 + -1 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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