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Simplifying 3(x + -2) + 4 = -2(2x + 5) + -6 Reorder the terms: 3(-2 + x) + 4 = -2(2x + 5) + -6 (-2 * 3 + x * 3) + 4 = -2(2x + 5) + -6 (-6 + 3x) + 4 = -2(2x + 5) + -6 Reorder the terms: -6 + 4 + 3x = -2(2x + 5) + -6 Combine like terms: -6 + 4 = -2 -2 + 3x = -2(2x + 5) + -6 Reorder the terms: -2 + 3x = -2(5 + 2x) + -6 -2 + 3x = (5 * -2 + 2x * -2) + -6 -2 + 3x = (-10 + -4x) + -6 Reorder the terms: -2 + 3x = -10 + -6 + -4x Combine like terms: -10 + -6 = -16 -2 + 3x = -16 + -4x Solving -2 + 3x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 3x + 4x = -16 + -4x + 4x Combine like terms: 3x + 4x = 7x -2 + 7x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 7x = -16 + 0 -2 + 7x = -16 Add '2' to each side of the equation. -2 + 2 + 7x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -16 + 2 7x = -16 + 2 Combine like terms: -16 + 2 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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