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Simplifying -3(x + 4) + 5 = 7(x + 2) + 2 Reorder the terms: -3(4 + x) + 5 = 7(x + 2) + 2 (4 * -3 + x * -3) + 5 = 7(x + 2) + 2 (-12 + -3x) + 5 = 7(x + 2) + 2 Reorder the terms: -12 + 5 + -3x = 7(x + 2) + 2 Combine like terms: -12 + 5 = -7 -7 + -3x = 7(x + 2) + 2 Reorder the terms: -7 + -3x = 7(2 + x) + 2 -7 + -3x = (2 * 7 + x * 7) + 2 -7 + -3x = (14 + 7x) + 2 Reorder the terms: -7 + -3x = 14 + 2 + 7x Combine like terms: 14 + 2 = 16 -7 + -3x = 16 + 7x Solving -7 + -3x = 16 + 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. -7 + -3x + -7x = 16 + 7x + -7x Combine like terms: -3x + -7x = -10x -7 + -10x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -10x = 16 + 0 -7 + -10x = 16 Add '7' to each side of the equation. -7 + 7 + -10x = 16 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 16 + 7 -10x = 16 + 7 Combine like terms: 16 + 7 = 23 -10x = 23 Divide each side by '-10'. x = -2.3 Simplifying x = -2.3
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