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Simplifying 10x + -1(2x + -3) = 3(x + 3) + -7 Reorder the terms: 10x + -1(-3 + 2x) = 3(x + 3) + -7 10x + (-3 * -1 + 2x * -1) = 3(x + 3) + -7 10x + (3 + -2x) = 3(x + 3) + -7 Reorder the terms: 3 + 10x + -2x = 3(x + 3) + -7 Combine like terms: 10x + -2x = 8x 3 + 8x = 3(x + 3) + -7 Reorder the terms: 3 + 8x = 3(3 + x) + -7 3 + 8x = (3 * 3 + x * 3) + -7 3 + 8x = (9 + 3x) + -7 Reorder the terms: 3 + 8x = 9 + -7 + 3x Combine like terms: 9 + -7 = 2 3 + 8x = 2 + 3x Solving 3 + 8x = 2 + 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. 3 + 8x + -3x = 2 + 3x + -3x Combine like terms: 8x + -3x = 5x 3 + 5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 5x = 2 + 0 3 + 5x = 2 Add '-3' to each side of the equation. 3 + -3 + 5x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 2 + -3 5x = 2 + -3 Combine like terms: 2 + -3 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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