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Simplifying 7(2x + -5) + -1(3x + -4) = 3x + -7 Reorder the terms: 7(-5 + 2x) + -1(3x + -4) = 3x + -7 (-5 * 7 + 2x * 7) + -1(3x + -4) = 3x + -7 (-35 + 14x) + -1(3x + -4) = 3x + -7 Reorder the terms: -35 + 14x + -1(-4 + 3x) = 3x + -7 -35 + 14x + (-4 * -1 + 3x * -1) = 3x + -7 -35 + 14x + (4 + -3x) = 3x + -7 Reorder the terms: -35 + 4 + 14x + -3x = 3x + -7 Combine like terms: -35 + 4 = -31 -31 + 14x + -3x = 3x + -7 Combine like terms: 14x + -3x = 11x -31 + 11x = 3x + -7 Reorder the terms: -31 + 11x = -7 + 3x Solving -31 + 11x = -7 + 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. -31 + 11x + -3x = -7 + 3x + -3x Combine like terms: 11x + -3x = 8x -31 + 8x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 8x = -7 + 0 -31 + 8x = -7 Add '31' to each side of the equation. -31 + 31 + 8x = -7 + 31 Combine like terms: -31 + 31 = 0 0 + 8x = -7 + 31 8x = -7 + 31 Combine like terms: -7 + 31 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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