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Simplifying -6x + -3x = 5(x + -5) + -3(7x + 1) Combine like terms: -6x + -3x = -9x -9x = 5(x + -5) + -3(7x + 1) Reorder the terms: -9x = 5(-5 + x) + -3(7x + 1) -9x = (-5 * 5 + x * 5) + -3(7x + 1) -9x = (-25 + 5x) + -3(7x + 1) Reorder the terms: -9x = -25 + 5x + -3(1 + 7x) -9x = -25 + 5x + (1 * -3 + 7x * -3) -9x = -25 + 5x + (-3 + -21x) Reorder the terms: -9x = -25 + -3 + 5x + -21x Combine like terms: -25 + -3 = -28 -9x = -28 + 5x + -21x Combine like terms: 5x + -21x = -16x -9x = -28 + -16x Solving -9x = -28 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -9x + 16x = -28 + -16x + 16x Combine like terms: -9x + 16x = 7x 7x = -28 + -16x + 16x Combine like terms: -16x + 16x = 0 7x = -28 + 0 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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