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Simplifying 8x + -2(x + -2) + 5 = 4 + 7x + -6 Reorder the terms: 8x + -2(-2 + x) + 5 = 4 + 7x + -6 8x + (-2 * -2 + x * -2) + 5 = 4 + 7x + -6 8x + (4 + -2x) + 5 = 4 + 7x + -6 Reorder the terms: 4 + 5 + 8x + -2x = 4 + 7x + -6 Combine like terms: 4 + 5 = 9 9 + 8x + -2x = 4 + 7x + -6 Combine like terms: 8x + -2x = 6x 9 + 6x = 4 + 7x + -6 Reorder the terms: 9 + 6x = 4 + -6 + 7x Combine like terms: 4 + -6 = -2 9 + 6x = -2 + 7x Solving 9 + 6x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 6x + -7x = -2 + 7x + -7x Combine like terms: 6x + -7x = -1x 9 + -1x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -1x = -2 + 0 9 + -1x = -2 Add '-9' to each side of the equation. 9 + -9 + -1x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -2 + -9 -1x = -2 + -9 Combine like terms: -2 + -9 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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