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Simplifying 3(x + -4) + 7(5 + -1x) = 0 Reorder the terms: 3(-4 + x) + 7(5 + -1x) = 0 (-4 * 3 + x * 3) + 7(5 + -1x) = 0 (-12 + 3x) + 7(5 + -1x) = 0 -12 + 3x + (5 * 7 + -1x * 7) = 0 -12 + 3x + (35 + -7x) = 0 Reorder the terms: -12 + 35 + 3x + -7x = 0 Combine like terms: -12 + 35 = 23 23 + 3x + -7x = 0 Combine like terms: 3x + -7x = -4x 23 + -4x = 0 Solving 23 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 0 + -23 -4x = 0 + -23 Combine like terms: 0 + -23 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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