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Simplifying 3x + -7 = 2 + -8(-7x + -4) Reorder the terms: -7 + 3x = 2 + -8(-7x + -4) Reorder the terms: -7 + 3x = 2 + -8(-4 + -7x) -7 + 3x = 2 + (-4 * -8 + -7x * -8) -7 + 3x = 2 + (32 + 56x) Combine like terms: 2 + 32 = 34 -7 + 3x = 34 + 56x Solving -7 + 3x = 34 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -7 + 3x + -56x = 34 + 56x + -56x Combine like terms: 3x + -56x = -53x -7 + -53x = 34 + 56x + -56x Combine like terms: 56x + -56x = 0 -7 + -53x = 34 + 0 -7 + -53x = 34 Add '7' to each side of the equation. -7 + 7 + -53x = 34 + 7 Combine like terms: -7 + 7 = 0 0 + -53x = 34 + 7 -53x = 34 + 7 Combine like terms: 34 + 7 = 41 -53x = 41 Divide each side by '-53'. x = -0.7735849057 Simplifying x = -0.7735849057
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