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Simplifying 3(x + -4) + -2 = -4x + 49 Reorder the terms: 3(-4 + x) + -2 = -4x + 49 (-4 * 3 + x * 3) + -2 = -4x + 49 (-12 + 3x) + -2 = -4x + 49 Reorder the terms: -12 + -2 + 3x = -4x + 49 Combine like terms: -12 + -2 = -14 -14 + 3x = -4x + 49 Reorder the terms: -14 + 3x = 49 + -4x Solving -14 + 3x = 49 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + 3x + 4x = 49 + -4x + 4x Combine like terms: 3x + 4x = 7x -14 + 7x = 49 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 7x = 49 + 0 -14 + 7x = 49 Add '14' to each side of the equation. -14 + 14 + 7x = 49 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 49 + 14 7x = 49 + 14 Combine like terms: 49 + 14 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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