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Simplifying 4(2x + 2) + 2 = -6x + 10 Reorder the terms: 4(2 + 2x) + 2 = -6x + 10 (2 * 4 + 2x * 4) + 2 = -6x + 10 (8 + 8x) + 2 = -6x + 10 Reorder the terms: 8 + 2 + 8x = -6x + 10 Combine like terms: 8 + 2 = 10 10 + 8x = -6x + 10 Reorder the terms: 10 + 8x = 10 + -6x Add '-10' to each side of the equation. 10 + -10 + 8x = 10 + -10 + -6x Combine like terms: 10 + -10 = 0 0 + 8x = 10 + -10 + -6x 8x = 10 + -10 + -6x Combine like terms: 10 + -10 = 0 8x = 0 + -6x 8x = -6x Solving 8x = -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. 8x + 6x = -6x + 6x Combine like terms: 8x + 6x = 14x 14x = -6x + 6x Combine like terms: -6x + 6x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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