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Simplifying 3(x + -4) + -2 = 7x + 4 Reorder the terms: 3(-4 + x) + -2 = 7x + 4 (-4 * 3 + x * 3) + -2 = 7x + 4 (-12 + 3x) + -2 = 7x + 4 Reorder the terms: -12 + -2 + 3x = 7x + 4 Combine like terms: -12 + -2 = -14 -14 + 3x = 7x + 4 Reorder the terms: -14 + 3x = 4 + 7x Solving -14 + 3x = 4 + 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. -14 + 3x + -7x = 4 + 7x + -7x Combine like terms: 3x + -7x = -4x -14 + -4x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -4x = 4 + 0 -14 + -4x = 4 Add '14' to each side of the equation. -14 + 14 + -4x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 4 + 14 -4x = 4 + 14 Combine like terms: 4 + 14 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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