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Simplifying -10 = 2(4x + 3) + -2x + 2 Reorder the terms: -10 = 2(3 + 4x) + -2x + 2 -10 = (3 * 2 + 4x * 2) + -2x + 2 -10 = (6 + 8x) + -2x + 2 Reorder the terms: -10 = 6 + 2 + 8x + -2x Combine like terms: 6 + 2 = 8 -10 = 8 + 8x + -2x Combine like terms: 8x + -2x = 6x -10 = 8 + 6x Solving -10 = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -6x = 8 + 0 -10 + -6x = 8 Add '10' to each side of the equation. -10 + 10 + -6x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 8 + 10 -6x = 8 + 10 Combine like terms: 8 + 10 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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