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Simplifying 2x + 7(x + -8) = 7(4 + x) + 8x Reorder the terms: 2x + 7(-8 + x) = 7(4 + x) + 8x 2x + (-8 * 7 + x * 7) = 7(4 + x) + 8x 2x + (-56 + 7x) = 7(4 + x) + 8x Reorder the terms: -56 + 2x + 7x = 7(4 + x) + 8x Combine like terms: 2x + 7x = 9x -56 + 9x = 7(4 + x) + 8x -56 + 9x = (4 * 7 + x * 7) + 8x -56 + 9x = (28 + 7x) + 8x Combine like terms: 7x + 8x = 15x -56 + 9x = 28 + 15x Solving -56 + 9x = 28 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -56 + 9x + -15x = 28 + 15x + -15x Combine like terms: 9x + -15x = -6x -56 + -6x = 28 + 15x + -15x Combine like terms: 15x + -15x = 0 -56 + -6x = 28 + 0 -56 + -6x = 28 Add '56' to each side of the equation. -56 + 56 + -6x = 28 + 56 Combine like terms: -56 + 56 = 0 0 + -6x = 28 + 56 -6x = 28 + 56 Combine like terms: 28 + 56 = 84 -6x = 84 Divide each side by '-6'. x = -14 Simplifying x = -14
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