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Simplifying 3(x + -4) = 7(x + 2) Reorder the terms: 3(-4 + x) = 7(x + 2) (-4 * 3 + x * 3) = 7(x + 2) (-12 + 3x) = 7(x + 2) Reorder the terms: -12 + 3x = 7(2 + x) -12 + 3x = (2 * 7 + x * 7) -12 + 3x = (14 + 7x) Solving -12 + 3x = 14 + 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 = 14 + 7x + -7x Combine like terms: 3x + -7x = -4x -12 + -4x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -4x = 14 + 0 -12 + -4x = 14 Add '12' to each side of the equation. -12 + 12 + -4x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 14 + 12 -4x = 14 + 12 Combine like terms: 14 + 12 = 26 -4x = 26 Divide each side by '-4'. x = -6.5 Simplifying x = -6.5
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