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Simplifying 2x + -1(x + 6) = 4x + 15 Reorder the terms: 2x + -1(6 + x) = 4x + 15 2x + (6 * -1 + x * -1) = 4x + 15 2x + (-6 + -1x) = 4x + 15 Reorder the terms: -6 + 2x + -1x = 4x + 15 Combine like terms: 2x + -1x = 1x -6 + 1x = 4x + 15 Reorder the terms: -6 + 1x = 15 + 4x Solving -6 + 1x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 1x + -4x = 15 + 4x + -4x Combine like terms: 1x + -4x = -3x -6 + -3x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = 15 + 0 -6 + -3x = 15 Add '6' to each side of the equation. -6 + 6 + -3x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 15 + 6 -3x = 15 + 6 Combine like terms: 15 + 6 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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