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Simplifying -2(-3x + 5) + 6 = 4(x + -2) + -2 Reorder the terms: -2(5 + -3x) + 6 = 4(x + -2) + -2 (5 * -2 + -3x * -2) + 6 = 4(x + -2) + -2 (-10 + 6x) + 6 = 4(x + -2) + -2 Reorder the terms: -10 + 6 + 6x = 4(x + -2) + -2 Combine like terms: -10 + 6 = -4 -4 + 6x = 4(x + -2) + -2 Reorder the terms: -4 + 6x = 4(-2 + x) + -2 -4 + 6x = (-2 * 4 + x * 4) + -2 -4 + 6x = (-8 + 4x) + -2 Reorder the terms: -4 + 6x = -8 + -2 + 4x Combine like terms: -8 + -2 = -10 -4 + 6x = -10 + 4x Solving -4 + 6x = -10 + 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. -4 + 6x + -4x = -10 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 2x = -10 + 0 -4 + 2x = -10 Add '4' to each side of the equation. -4 + 4 + 2x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -10 + 4 2x = -10 + 4 Combine like terms: -10 + 4 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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