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Simplifying 4x + -3x = 5(8x + 3) + 7(-7x + -5) Combine like terms: 4x + -3x = 1x 1x = 5(8x + 3) + 7(-7x + -5) Reorder the terms: 1x = 5(3 + 8x) + 7(-7x + -5) 1x = (3 * 5 + 8x * 5) + 7(-7x + -5) 1x = (15 + 40x) + 7(-7x + -5) Reorder the terms: 1x = 15 + 40x + 7(-5 + -7x) 1x = 15 + 40x + (-5 * 7 + -7x * 7) 1x = 15 + 40x + (-35 + -49x) Reorder the terms: 1x = 15 + -35 + 40x + -49x Combine like terms: 15 + -35 = -20 1x = -20 + 40x + -49x Combine like terms: 40x + -49x = -9x 1x = -20 + -9x Solving 1x = -20 + -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. 1x + 9x = -20 + -9x + 9x Combine like terms: 1x + 9x = 10x 10x = -20 + -9x + 9x Combine like terms: -9x + 9x = 0 10x = -20 + 0 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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