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Simplifying -3(7 + 5x) + 1 = 32 + -2x (7 * -3 + 5x * -3) + 1 = 32 + -2x (-21 + -15x) + 1 = 32 + -2x Reorder the terms: -21 + 1 + -15x = 32 + -2x Combine like terms: -21 + 1 = -20 -20 + -15x = 32 + -2x Solving -20 + -15x = 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. -20 + -15x + 2x = 32 + -2x + 2x Combine like terms: -15x + 2x = -13x -20 + -13x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -13x = 32 + 0 -20 + -13x = 32 Add '20' to each side of the equation. -20 + 20 + -13x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = 32 + 20 -13x = 32 + 20 Combine like terms: 32 + 20 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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