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Simplifying -2x + -3(x + 5) = 4(1 + -1x) + 7x Reorder the terms: -2x + -3(5 + x) = 4(1 + -1x) + 7x -2x + (5 * -3 + x * -3) = 4(1 + -1x) + 7x -2x + (-15 + -3x) = 4(1 + -1x) + 7x Reorder the terms: -15 + -2x + -3x = 4(1 + -1x) + 7x Combine like terms: -2x + -3x = -5x -15 + -5x = 4(1 + -1x) + 7x -15 + -5x = (1 * 4 + -1x * 4) + 7x -15 + -5x = (4 + -4x) + 7x Combine like terms: -4x + 7x = 3x -15 + -5x = 4 + 3x Solving -15 + -5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + -5x + -3x = 4 + 3x + -3x Combine like terms: -5x + -3x = -8x -15 + -8x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -8x = 4 + 0 -15 + -8x = 4 Add '15' to each side of the equation. -15 + 15 + -8x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 4 + 15 -8x = 4 + 15 Combine like terms: 4 + 15 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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