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Simplifying -3(x + 2) + 4 = 7(x + 5) + 5 Reorder the terms: -3(2 + x) + 4 = 7(x + 5) + 5 (2 * -3 + x * -3) + 4 = 7(x + 5) + 5 (-6 + -3x) + 4 = 7(x + 5) + 5 Reorder the terms: -6 + 4 + -3x = 7(x + 5) + 5 Combine like terms: -6 + 4 = -2 -2 + -3x = 7(x + 5) + 5 Reorder the terms: -2 + -3x = 7(5 + x) + 5 -2 + -3x = (5 * 7 + x * 7) + 5 -2 + -3x = (35 + 7x) + 5 Reorder the terms: -2 + -3x = 35 + 5 + 7x Combine like terms: 35 + 5 = 40 -2 + -3x = 40 + 7x Solving -2 + -3x = 40 + 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. -2 + -3x + -7x = 40 + 7x + -7x Combine like terms: -3x + -7x = -10x -2 + -10x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -10x = 40 + 0 -2 + -10x = 40 Add '2' to each side of the equation. -2 + 2 + -10x = 40 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 40 + 2 -10x = 40 + 2 Combine like terms: 40 + 2 = 42 -10x = 42 Divide each side by '-10'. x = -4.2 Simplifying x = -4.2
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