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Simplifying 8x + -5(3x + 1) = x + -1(-11) Reorder the terms: 8x + -5(1 + 3x) = x + -1(-11) 8x + (1 * -5 + 3x * -5) = x + -1(-11) 8x + (-5 + -15x) = x + -1(-11) Reorder the terms: -5 + 8x + -15x = x + -1(-11) Combine like terms: 8x + -15x = -7x -5 + -7x = x + -1(-11) Multiply -1 * -11 -5 + -7x = x + 11 Reorder the terms: -5 + -7x = 11 + x Solving -5 + -7x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -7x + -1x = 11 + x + -1x Combine like terms: -7x + -1x = -8x -5 + -8x = 11 + x + -1x Combine like terms: x + -1x = 0 -5 + -8x = 11 + 0 -5 + -8x = 11 Add '5' to each side of the equation. -5 + 5 + -8x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 11 + 5 -8x = 11 + 5 Combine like terms: 11 + 5 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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