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Simplifying (x + -4) * 3 = (x + 5) * 7 Reorder the terms: (-4 + x) * 3 = (x + 5) * 7 Reorder the terms for easier multiplication: 3(-4 + x) = (x + 5) * 7 (-4 * 3 + x * 3) = (x + 5) * 7 (-12 + 3x) = (x + 5) * 7 Reorder the terms: -12 + 3x = (5 + x) * 7 Reorder the terms for easier multiplication: -12 + 3x = 7(5 + x) -12 + 3x = (5 * 7 + x * 7) -12 + 3x = (35 + 7x) Solving -12 + 3x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 3x + -7x = 35 + 7x + -7x Combine like terms: 3x + -7x = -4x -12 + -4x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -4x = 35 + 0 -12 + -4x = 35 Add '12' to each side of the equation. -12 + 12 + -4x = 35 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 35 + 12 -4x = 35 + 12 Combine like terms: 35 + 12 = 47 -4x = 47 Divide each side by '-4'. x = -11.75 Simplifying x = -11.75
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