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Simplifying 5x + 3 + -1(2x + 1) = -3x + -10 Reorder the terms: 5x + 3 + -1(1 + 2x) = -3x + -10 5x + 3 + (1 * -1 + 2x * -1) = -3x + -10 5x + 3 + (-1 + -2x) = -3x + -10 Reorder the terms: 3 + -1 + 5x + -2x = -3x + -10 Combine like terms: 3 + -1 = 2 2 + 5x + -2x = -3x + -10 Combine like terms: 5x + -2x = 3x 2 + 3x = -3x + -10 Reorder the terms: 2 + 3x = -10 + -3x Solving 2 + 3x = -10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 3x + 3x = -10 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = -10 + 0 2 + 6x = -10 Add '-2' to each side of the equation. 2 + -2 + 6x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -10 + -2 6x = -10 + -2 Combine like terms: -10 + -2 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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