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Simplifying 5x + -7 = 4(11 + -3x) Reorder the terms: -7 + 5x = 4(11 + -3x) -7 + 5x = (11 * 4 + -3x * 4) -7 + 5x = (44 + -12x) Solving -7 + 5x = 44 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -7 + 5x + 12x = 44 + -12x + 12x Combine like terms: 5x + 12x = 17x -7 + 17x = 44 + -12x + 12x Combine like terms: -12x + 12x = 0 -7 + 17x = 44 + 0 -7 + 17x = 44 Add '7' to each side of the equation. -7 + 7 + 17x = 44 + 7 Combine like terms: -7 + 7 = 0 0 + 17x = 44 + 7 17x = 44 + 7 Combine like terms: 44 + 7 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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