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Simplifying -1(3x + -7) + 4(2x + -3) = 0 Reorder the terms: -1(-7 + 3x) + 4(2x + -3) = 0 (-7 * -1 + 3x * -1) + 4(2x + -3) = 0 (7 + -3x) + 4(2x + -3) = 0 Reorder the terms: 7 + -3x + 4(-3 + 2x) = 0 7 + -3x + (-3 * 4 + 2x * 4) = 0 7 + -3x + (-12 + 8x) = 0 Reorder the terms: 7 + -12 + -3x + 8x = 0 Combine like terms: 7 + -12 = -5 -5 + -3x + 8x = 0 Combine like terms: -3x + 8x = 5x -5 + 5x = 0 Solving -5 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 0 + 5 5x = 0 + 5 Combine like terms: 0 + 5 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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