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Simplifying 7(2x + -5) + -3(-2x + 8) = x Reorder the terms: 7(-5 + 2x) + -3(-2x + 8) = x (-5 * 7 + 2x * 7) + -3(-2x + 8) = x (-35 + 14x) + -3(-2x + 8) = x Reorder the terms: -35 + 14x + -3(8 + -2x) = x -35 + 14x + (8 * -3 + -2x * -3) = x -35 + 14x + (-24 + 6x) = x Reorder the terms: -35 + -24 + 14x + 6x = x Combine like terms: -35 + -24 = -59 -59 + 14x + 6x = x Combine like terms: 14x + 6x = 20x -59 + 20x = x Solving -59 + 20x = 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. -59 + 20x + -1x = x + -1x Combine like terms: 20x + -1x = 19x -59 + 19x = x + -1x Combine like terms: x + -1x = 0 -59 + 19x = 0 Add '59' to each side of the equation. -59 + 59 + 19x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 19x = 0 + 59 19x = 0 + 59 Combine like terms: 0 + 59 = 59 19x = 59 Divide each side by '19'. x = 3.105263158 Simplifying x = 3.105263158
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