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Simplifying 8 + 2x = 4(2x + 2) + -7(x + -2) Reorder the terms: 8 + 2x = 4(2 + 2x) + -7(x + -2) 8 + 2x = (2 * 4 + 2x * 4) + -7(x + -2) 8 + 2x = (8 + 8x) + -7(x + -2) Reorder the terms: 8 + 2x = 8 + 8x + -7(-2 + x) 8 + 2x = 8 + 8x + (-2 * -7 + x * -7) 8 + 2x = 8 + 8x + (14 + -7x) Reorder the terms: 8 + 2x = 8 + 14 + 8x + -7x Combine like terms: 8 + 14 = 22 8 + 2x = 22 + 8x + -7x Combine like terms: 8x + -7x = 1x 8 + 2x = 22 + 1x Solving 8 + 2x = 22 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 2x + -1x = 22 + 1x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = 22 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 1x = 22 + 0 8 + 1x = 22 Add '-8' to each side of the equation. 8 + -8 + 1x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 22 + -8 1x = 22 + -8 Combine like terms: 22 + -8 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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