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Simplifying 49 = 3(x + -3) + 4x + -1 + 2x + 5 Reorder the terms: 49 = 3(-3 + x) + 4x + -1 + 2x + 5 49 = (-3 * 3 + x * 3) + 4x + -1 + 2x + 5 49 = (-9 + 3x) + 4x + -1 + 2x + 5 Reorder the terms: 49 = -9 + -1 + 5 + 3x + 4x + 2x Combine like terms: -9 + -1 = -10 49 = -10 + 5 + 3x + 4x + 2x Combine like terms: -10 + 5 = -5 49 = -5 + 3x + 4x + 2x Combine like terms: 3x + 4x = 7x 49 = -5 + 7x + 2x Combine like terms: 7x + 2x = 9x 49 = -5 + 9x Solving 49 = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 49 + -9x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 49 + -9x = -5 + 0 49 + -9x = -5 Add '-49' to each side of the equation. 49 + -49 + -9x = -5 + -49 Combine like terms: 49 + -49 = 0 0 + -9x = -5 + -49 -9x = -5 + -49 Combine like terms: -5 + -49 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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