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Simplifying 7 + -3x + -1(-5x + 2) + 1 + 7x = 5x Reorder the terms: 7 + -3x + -1(2 + -5x) + 1 + 7x = 5x 7 + -3x + (2 * -1 + -5x * -1) + 1 + 7x = 5x 7 + -3x + (-2 + 5x) + 1 + 7x = 5x Reorder the terms: 7 + -2 + 1 + -3x + 5x + 7x = 5x Combine like terms: 7 + -2 = 5 5 + 1 + -3x + 5x + 7x = 5x Combine like terms: 5 + 1 = 6 6 + -3x + 5x + 7x = 5x Combine like terms: -3x + 5x = 2x 6 + 2x + 7x = 5x Combine like terms: 2x + 7x = 9x 6 + 9x = 5x Solving 6 + 9x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 9x + -5x = 5x + -5x Combine like terms: 9x + -5x = 4x 6 + 4x = 5x + -5x Combine like terms: 5x + -5x = 0 6 + 4x = 0 Add '-6' to each side of the equation. 6 + -6 + 4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 0 + -6 4x = 0 + -6 Combine like terms: 0 + -6 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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