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Simplifying -7(x + 4) + 4x + 5 = 7x + 6 Reorder the terms: -7(4 + x) + 4x + 5 = 7x + 6 (4 * -7 + x * -7) + 4x + 5 = 7x + 6 (-28 + -7x) + 4x + 5 = 7x + 6 Reorder the terms: -28 + 5 + -7x + 4x = 7x + 6 Combine like terms: -28 + 5 = -23 -23 + -7x + 4x = 7x + 6 Combine like terms: -7x + 4x = -3x -23 + -3x = 7x + 6 Reorder the terms: -23 + -3x = 6 + 7x Solving -23 + -3x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -23 + -3x + -7x = 6 + 7x + -7x Combine like terms: -3x + -7x = -10x -23 + -10x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -23 + -10x = 6 + 0 -23 + -10x = 6 Add '23' to each side of the equation. -23 + 23 + -10x = 6 + 23 Combine like terms: -23 + 23 = 0 0 + -10x = 6 + 23 -10x = 6 + 23 Combine like terms: 6 + 23 = 29 -10x = 29 Divide each side by '-10'. x = -2.9 Simplifying x = -2.9
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