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Simplifying 7x + 3 + (10 + -3x) = -8x + -1(-10 + -7x) + -2 Remove parenthesis around (10 + -3x) 7x + 3 + 10 + -3x = -8x + -1(-10 + -7x) + -2 Reorder the terms: 3 + 10 + 7x + -3x = -8x + -1(-10 + -7x) + -2 Combine like terms: 3 + 10 = 13 13 + 7x + -3x = -8x + -1(-10 + -7x) + -2 Combine like terms: 7x + -3x = 4x 13 + 4x = -8x + -1(-10 + -7x) + -2 13 + 4x = -8x + (-10 * -1 + -7x * -1) + -2 13 + 4x = -8x + (10 + 7x) + -2 Reorder the terms: 13 + 4x = 10 + -2 + -8x + 7x Combine like terms: 10 + -2 = 8 13 + 4x = 8 + -8x + 7x Combine like terms: -8x + 7x = -1x 13 + 4x = 8 + -1x Solving 13 + 4x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13 + 4x + x = 8 + -1x + x Combine like terms: 4x + x = 5x 13 + 5x = 8 + -1x + x Combine like terms: -1x + x = 0 13 + 5x = 8 + 0 13 + 5x = 8 Add '-13' to each side of the equation. 13 + -13 + 5x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 8 + -13 5x = 8 + -13 Combine like terms: 8 + -13 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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