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Simplifying 4x + 6(x + 7) = 2(x + 9) Reorder the terms: 4x + 6(7 + x) = 2(x + 9) 4x + (7 * 6 + x * 6) = 2(x + 9) 4x + (42 + 6x) = 2(x + 9) Reorder the terms: 42 + 4x + 6x = 2(x + 9) Combine like terms: 4x + 6x = 10x 42 + 10x = 2(x + 9) Reorder the terms: 42 + 10x = 2(9 + x) 42 + 10x = (9 * 2 + x * 2) 42 + 10x = (18 + 2x) Solving 42 + 10x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 10x + -2x = 18 + 2x + -2x Combine like terms: 10x + -2x = 8x 42 + 8x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 8x = 18 + 0 42 + 8x = 18 Add '-42' to each side of the equation. 42 + -42 + 8x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 18 + -42 8x = 18 + -42 Combine like terms: 18 + -42 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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