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Simplifying 3(x + -5) + -7 = -4(-5x + 2) + -9x Reorder the terms: 3(-5 + x) + -7 = -4(-5x + 2) + -9x (-5 * 3 + x * 3) + -7 = -4(-5x + 2) + -9x (-15 + 3x) + -7 = -4(-5x + 2) + -9x Reorder the terms: -15 + -7 + 3x = -4(-5x + 2) + -9x Combine like terms: -15 + -7 = -22 -22 + 3x = -4(-5x + 2) + -9x Reorder the terms: -22 + 3x = -4(2 + -5x) + -9x -22 + 3x = (2 * -4 + -5x * -4) + -9x -22 + 3x = (-8 + 20x) + -9x Combine like terms: 20x + -9x = 11x -22 + 3x = -8 + 11x Solving -22 + 3x = -8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -22 + 3x + -11x = -8 + 11x + -11x Combine like terms: 3x + -11x = -8x -22 + -8x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 -22 + -8x = -8 + 0 -22 + -8x = -8 Add '22' to each side of the equation. -22 + 22 + -8x = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -8x = -8 + 22 -8x = -8 + 22 Combine like terms: -8 + 22 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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