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Simplifying 15x + -2(3x + -4) + 8 = 7x + -1(5 + -1x) + -6 Reorder the terms: 15x + -2(-4 + 3x) + 8 = 7x + -1(5 + -1x) + -6 15x + (-4 * -2 + 3x * -2) + 8 = 7x + -1(5 + -1x) + -6 15x + (8 + -6x) + 8 = 7x + -1(5 + -1x) + -6 Reorder the terms: 8 + 8 + 15x + -6x = 7x + -1(5 + -1x) + -6 Combine like terms: 8 + 8 = 16 16 + 15x + -6x = 7x + -1(5 + -1x) + -6 Combine like terms: 15x + -6x = 9x 16 + 9x = 7x + -1(5 + -1x) + -6 16 + 9x = 7x + (5 * -1 + -1x * -1) + -6 16 + 9x = 7x + (-5 + 1x) + -6 Reorder the terms: 16 + 9x = -5 + -6 + 7x + 1x Combine like terms: -5 + -6 = -11 16 + 9x = -11 + 7x + 1x Combine like terms: 7x + 1x = 8x 16 + 9x = -11 + 8x Solving 16 + 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. 16 + 9x + -8x = -11 + 8x + -8x Combine like terms: 9x + -8x = 1x 16 + 1x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 1x = -11 + 0 16 + 1x = -11 Add '-16' to each side of the equation. 16 + -16 + 1x = -11 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = -11 + -16 1x = -11 + -16 Combine like terms: -11 + -16 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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