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Simplifying 7(5x + -7) + -1(3x + 4) = x Reorder the terms: 7(-7 + 5x) + -1(3x + 4) = x (-7 * 7 + 5x * 7) + -1(3x + 4) = x (-49 + 35x) + -1(3x + 4) = x Reorder the terms: -49 + 35x + -1(4 + 3x) = x -49 + 35x + (4 * -1 + 3x * -1) = x -49 + 35x + (-4 + -3x) = x Reorder the terms: -49 + -4 + 35x + -3x = x Combine like terms: -49 + -4 = -53 -53 + 35x + -3x = x Combine like terms: 35x + -3x = 32x -53 + 32x = x Solving -53 + 32x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -53 + 32x + -1x = x + -1x Combine like terms: 32x + -1x = 31x -53 + 31x = x + -1x Combine like terms: x + -1x = 0 -53 + 31x = 0 Add '53' to each side of the equation. -53 + 53 + 31x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 31x = 0 + 53 31x = 0 + 53 Combine like terms: 0 + 53 = 53 31x = 53 Divide each side by '31'. x = 1.709677419 Simplifying x = 1.709677419
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