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Simplifying 5(x + -1) + -5 = -4(-3x + 7) + -3x Reorder the terms: 5(-1 + x) + -5 = -4(-3x + 7) + -3x (-1 * 5 + x * 5) + -5 = -4(-3x + 7) + -3x (-5 + 5x) + -5 = -4(-3x + 7) + -3x Reorder the terms: -5 + -5 + 5x = -4(-3x + 7) + -3x Combine like terms: -5 + -5 = -10 -10 + 5x = -4(-3x + 7) + -3x Reorder the terms: -10 + 5x = -4(7 + -3x) + -3x -10 + 5x = (7 * -4 + -3x * -4) + -3x -10 + 5x = (-28 + 12x) + -3x Combine like terms: 12x + -3x = 9x -10 + 5x = -28 + 9x Solving -10 + 5x = -28 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 5x + -9x = -28 + 9x + -9x Combine like terms: 5x + -9x = -4x -10 + -4x = -28 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -4x = -28 + 0 -10 + -4x = -28 Add '10' to each side of the equation. -10 + 10 + -4x = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -28 + 10 -4x = -28 + 10 Combine like terms: -28 + 10 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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