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Simplifying 5x + -1 = 2(4x + -11) Reorder the terms: -1 + 5x = 2(4x + -11) Reorder the terms: -1 + 5x = 2(-11 + 4x) -1 + 5x = (-11 * 2 + 4x * 2) -1 + 5x = (-22 + 8x) Solving -1 + 5x = -22 + 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. -1 + 5x + -8x = -22 + 8x + -8x Combine like terms: 5x + -8x = -3x -1 + -3x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -3x = -22 + 0 -1 + -3x = -22 Add '1' to each side of the equation. -1 + 1 + -3x = -22 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -22 + 1 -3x = -22 + 1 Combine like terms: -22 + 1 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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