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Simplifying -3(x + 3) + 4 = 7(x + 5) + 6 Reorder the terms: -3(3 + x) + 4 = 7(x + 5) + 6 (3 * -3 + x * -3) + 4 = 7(x + 5) + 6 (-9 + -3x) + 4 = 7(x + 5) + 6 Reorder the terms: -9 + 4 + -3x = 7(x + 5) + 6 Combine like terms: -9 + 4 = -5 -5 + -3x = 7(x + 5) + 6 Reorder the terms: -5 + -3x = 7(5 + x) + 6 -5 + -3x = (5 * 7 + x * 7) + 6 -5 + -3x = (35 + 7x) + 6 Reorder the terms: -5 + -3x = 35 + 6 + 7x Combine like terms: 35 + 6 = 41 -5 + -3x = 41 + 7x Solving -5 + -3x = 41 + 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. -5 + -3x + -7x = 41 + 7x + -7x Combine like terms: -3x + -7x = -10x -5 + -10x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -10x = 41 + 0 -5 + -10x = 41 Add '5' to each side of the equation. -5 + 5 + -10x = 41 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 41 + 5 -10x = 41 + 5 Combine like terms: 41 + 5 = 46 -10x = 46 Divide each side by '-10'. x = -4.6 Simplifying x = -4.6
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