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Simplifying -5(-4x + 3) + -9x = 7(x + -1) + -2 Reorder the terms: -5(3 + -4x) + -9x = 7(x + -1) + -2 (3 * -5 + -4x * -5) + -9x = 7(x + -1) + -2 (-15 + 20x) + -9x = 7(x + -1) + -2 Combine like terms: 20x + -9x = 11x -15 + 11x = 7(x + -1) + -2 Reorder the terms: -15 + 11x = 7(-1 + x) + -2 -15 + 11x = (-1 * 7 + x * 7) + -2 -15 + 11x = (-7 + 7x) + -2 Reorder the terms: -15 + 11x = -7 + -2 + 7x Combine like terms: -7 + -2 = -9 -15 + 11x = -9 + 7x Solving -15 + 11x = -9 + 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 + 11x + -7x = -9 + 7x + -7x Combine like terms: 11x + -7x = 4x -15 + 4x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 4x = -9 + 0 -15 + 4x = -9 Add '15' to each side of the equation. -15 + 15 + 4x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -9 + 15 4x = -9 + 15 Combine like terms: -9 + 15 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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