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Simplifying 6x + -1(3x + 6) = 4x + -15 Reorder the terms: 6x + -1(6 + 3x) = 4x + -15 6x + (6 * -1 + 3x * -1) = 4x + -15 6x + (-6 + -3x) = 4x + -15 Reorder the terms: -6 + 6x + -3x = 4x + -15 Combine like terms: 6x + -3x = 3x -6 + 3x = 4x + -15 Reorder the terms: -6 + 3x = -15 + 4x Solving -6 + 3x = -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 + 3x + -4x = -15 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x = -15 + 0 -6 + -1x = -15 Add '6' to each side of the equation. -6 + 6 + -1x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -15 + 6 -1x = -15 + 6 Combine like terms: -15 + 6 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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