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Simplifying 3x + -7 = 11(x + 4) Reorder the terms: -7 + 3x = 11(x + 4) Reorder the terms: -7 + 3x = 11(4 + x) -7 + 3x = (4 * 11 + x * 11) -7 + 3x = (44 + 11x) Solving -7 + 3x = 44 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -7 + 3x + -11x = 44 + 11x + -11x Combine like terms: 3x + -11x = -8x -7 + -8x = 44 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + -8x = 44 + 0 -7 + -8x = 44 Add '7' to each side of the equation. -7 + 7 + -8x = 44 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 44 + 7 -8x = 44 + 7 Combine like terms: 44 + 7 = 51 -8x = 51 Divide each side by '-8'. x = -6.375 Simplifying x = -6.375
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