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Simplifying -3(x + 2) + 5 = 7(x + 5) + 7 Reorder the terms: -3(2 + x) + 5 = 7(x + 5) + 7 (2 * -3 + x * -3) + 5 = 7(x + 5) + 7 (-6 + -3x) + 5 = 7(x + 5) + 7 Reorder the terms: -6 + 5 + -3x = 7(x + 5) + 7 Combine like terms: -6 + 5 = -1 -1 + -3x = 7(x + 5) + 7 Reorder the terms: -1 + -3x = 7(5 + x) + 7 -1 + -3x = (5 * 7 + x * 7) + 7 -1 + -3x = (35 + 7x) + 7 Reorder the terms: -1 + -3x = 35 + 7 + 7x Combine like terms: 35 + 7 = 42 -1 + -3x = 42 + 7x Solving -1 + -3x = 42 + 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. -1 + -3x + -7x = 42 + 7x + -7x Combine like terms: -3x + -7x = -10x -1 + -10x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -10x = 42 + 0 -1 + -10x = 42 Add '1' to each side of the equation. -1 + 1 + -10x = 42 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 42 + 1 -10x = 42 + 1 Combine like terms: 42 + 1 = 43 -10x = 43 Divide each side by '-10'. x = -4.3 Simplifying x = -4.3
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