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Simplifying -3(x + 2) + 4 = 7(x + 2) + 6 Reorder the terms: -3(2 + x) + 4 = 7(x + 2) + 6 (2 * -3 + x * -3) + 4 = 7(x + 2) + 6 (-6 + -3x) + 4 = 7(x + 2) + 6 Reorder the terms: -6 + 4 + -3x = 7(x + 2) + 6 Combine like terms: -6 + 4 = -2 -2 + -3x = 7(x + 2) + 6 Reorder the terms: -2 + -3x = 7(2 + x) + 6 -2 + -3x = (2 * 7 + x * 7) + 6 -2 + -3x = (14 + 7x) + 6 Reorder the terms: -2 + -3x = 14 + 6 + 7x Combine like terms: 14 + 6 = 20 -2 + -3x = 20 + 7x Solving -2 + -3x = 20 + 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 = 20 + 7x + -7x Combine like terms: -3x + -7x = -10x -2 + -10x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -10x = 20 + 0 -2 + -10x = 20 Add '2' to each side of the equation. -2 + 2 + -10x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 20 + 2 -10x = 20 + 2 Combine like terms: 20 + 2 = 22 -10x = 22 Divide each side by '-10'. x = -2.2 Simplifying x = -2.2
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