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Simplifying -4(x + 4) + 2x + 6 = 5x + 7 Reorder the terms: -4(4 + x) + 2x + 6 = 5x + 7 (4 * -4 + x * -4) + 2x + 6 = 5x + 7 (-16 + -4x) + 2x + 6 = 5x + 7 Reorder the terms: -16 + 6 + -4x + 2x = 5x + 7 Combine like terms: -16 + 6 = -10 -10 + -4x + 2x = 5x + 7 Combine like terms: -4x + 2x = -2x -10 + -2x = 5x + 7 Reorder the terms: -10 + -2x = 7 + 5x Solving -10 + -2x = 7 + 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. -10 + -2x + -5x = 7 + 5x + -5x Combine like terms: -2x + -5x = -7x -10 + -7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -7x = 7 + 0 -10 + -7x = 7 Add '10' to each side of the equation. -10 + 10 + -7x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 7 + 10 -7x = 7 + 10 Combine like terms: 7 + 10 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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