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Simplifying -15 + 4x = -6(x + 8) + -1x Reorder the terms: -15 + 4x = -6(8 + x) + -1x -15 + 4x = (8 * -6 + x * -6) + -1x -15 + 4x = (-48 + -6x) + -1x Combine like terms: -6x + -1x = -7x -15 + 4x = -48 + -7x Solving -15 + 4x = -48 + -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. -15 + 4x + 7x = -48 + -7x + 7x Combine like terms: 4x + 7x = 11x -15 + 11x = -48 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 11x = -48 + 0 -15 + 11x = -48 Add '15' to each side of the equation. -15 + 15 + 11x = -48 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = -48 + 15 11x = -48 + 15 Combine like terms: -48 + 15 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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