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Simplifying -2(2x + 3) = 3(x + 1) + 10 Reorder the terms: -2(3 + 2x) = 3(x + 1) + 10 (3 * -2 + 2x * -2) = 3(x + 1) + 10 (-6 + -4x) = 3(x + 1) + 10 Reorder the terms: -6 + -4x = 3(1 + x) + 10 -6 + -4x = (1 * 3 + x * 3) + 10 -6 + -4x = (3 + 3x) + 10 Reorder the terms: -6 + -4x = 3 + 10 + 3x Combine like terms: 3 + 10 = 13 -6 + -4x = 13 + 3x Solving -6 + -4x = 13 + 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. -6 + -4x + -3x = 13 + 3x + -3x Combine like terms: -4x + -3x = -7x -6 + -7x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -7x = 13 + 0 -6 + -7x = 13 Add '6' to each side of the equation. -6 + 6 + -7x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 13 + 6 -7x = 13 + 6 Combine like terms: 13 + 6 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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