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Simplifying 15x + -2(3x + -2) = 8x + 11 Reorder the terms: 15x + -2(-2 + 3x) = 8x + 11 15x + (-2 * -2 + 3x * -2) = 8x + 11 15x + (4 + -6x) = 8x + 11 Reorder the terms: 4 + 15x + -6x = 8x + 11 Combine like terms: 15x + -6x = 9x 4 + 9x = 8x + 11 Reorder the terms: 4 + 9x = 11 + 8x Solving 4 + 9x = 11 + 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. 4 + 9x + -8x = 11 + 8x + -8x Combine like terms: 9x + -8x = 1x 4 + 1x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 1x = 11 + 0 4 + 1x = 11 Add '-4' to each side of the equation. 4 + -4 + 1x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 11 + -4 1x = 11 + -4 Combine like terms: 11 + -4 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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