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Simplifying 3(x + 4) + -7 = 5x + 11 Reorder the terms: 3(4 + x) + -7 = 5x + 11 (4 * 3 + x * 3) + -7 = 5x + 11 (12 + 3x) + -7 = 5x + 11 Reorder the terms: 12 + -7 + 3x = 5x + 11 Combine like terms: 12 + -7 = 5 5 + 3x = 5x + 11 Reorder the terms: 5 + 3x = 11 + 5x Solving 5 + 3x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 3x + -5x = 11 + 5x + -5x Combine like terms: 3x + -5x = -2x 5 + -2x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -2x = 11 + 0 5 + -2x = 11 Add '-5' to each side of the equation. 5 + -5 + -2x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 11 + -5 -2x = 11 + -5 Combine like terms: 11 + -5 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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