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Simplifying -1x + 1 + 7x = -3 + 2x + 32 Reorder the terms: 1 + -1x + 7x = -3 + 2x + 32 Combine like terms: -1x + 7x = 6x 1 + 6x = -3 + 2x + 32 Reorder the terms: 1 + 6x = -3 + 32 + 2x Combine like terms: -3 + 32 = 29 1 + 6x = 29 + 2x Solving 1 + 6x = 29 + 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 + 6x + -2x = 29 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 29 + 0 1 + 4x = 29 Add '-1' to each side of the equation. 1 + -1 + 4x = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 29 + -1 4x = 29 + -1 Combine like terms: 29 + -1 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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