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Simplifying 8(x + -2) = -7(x + 1) + 11 Reorder the terms: 8(-2 + x) = -7(x + 1) + 11 (-2 * 8 + x * 8) = -7(x + 1) + 11 (-16 + 8x) = -7(x + 1) + 11 Reorder the terms: -16 + 8x = -7(1 + x) + 11 -16 + 8x = (1 * -7 + x * -7) + 11 -16 + 8x = (-7 + -7x) + 11 Reorder the terms: -16 + 8x = -7 + 11 + -7x Combine like terms: -7 + 11 = 4 -16 + 8x = 4 + -7x Solving -16 + 8x = 4 + -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. -16 + 8x + 7x = 4 + -7x + 7x Combine like terms: 8x + 7x = 15x -16 + 15x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 15x = 4 + 0 -16 + 15x = 4 Add '16' to each side of the equation. -16 + 16 + 15x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 4 + 16 15x = 4 + 16 Combine like terms: 4 + 16 = 20 15x = 20 Divide each side by '15'. x = 1.333333333 Simplifying x = 1.333333333
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