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Simplifying 2(3x + 5) + 2 = 8x + -4 Reorder the terms: 2(5 + 3x) + 2 = 8x + -4 (5 * 2 + 3x * 2) + 2 = 8x + -4 (10 + 6x) + 2 = 8x + -4 Reorder the terms: 10 + 2 + 6x = 8x + -4 Combine like terms: 10 + 2 = 12 12 + 6x = 8x + -4 Reorder the terms: 12 + 6x = -4 + 8x Solving 12 + 6x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = -4 + 0 12 + -2x = -4 Add '-12' to each side of the equation. 12 + -12 + -2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -4 + -12 -2x = -4 + -12 Combine like terms: -4 + -12 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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