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Simplifying 5(x + -7) + -2(3x + -4) = 3x Reorder the terms: 5(-7 + x) + -2(3x + -4) = 3x (-7 * 5 + x * 5) + -2(3x + -4) = 3x (-35 + 5x) + -2(3x + -4) = 3x Reorder the terms: -35 + 5x + -2(-4 + 3x) = 3x -35 + 5x + (-4 * -2 + 3x * -2) = 3x -35 + 5x + (8 + -6x) = 3x Reorder the terms: -35 + 8 + 5x + -6x = 3x Combine like terms: -35 + 8 = -27 -27 + 5x + -6x = 3x Combine like terms: 5x + -6x = -1x -27 + -1x = 3x Solving -27 + -1x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x -27 + -4x = 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -4x = 0 Add '27' to each side of the equation. -27 + 27 + -4x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = 0 + 27 -4x = 0 + 27 Combine like terms: 0 + 27 = 27 -4x = 27 Divide each side by '-4'. x = -6.75 Simplifying x = -6.75
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