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Simplifying 6(x + 7) = 4(2x + 7) Reorder the terms: 6(7 + x) = 4(2x + 7) (7 * 6 + x * 6) = 4(2x + 7) (42 + 6x) = 4(2x + 7) Reorder the terms: 42 + 6x = 4(7 + 2x) 42 + 6x = (7 * 4 + 2x * 4) 42 + 6x = (28 + 8x) Solving 42 + 6x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 6x + -8x = 28 + 8x + -8x Combine like terms: 6x + -8x = -2x 42 + -2x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -2x = 28 + 0 42 + -2x = 28 Add '-42' to each side of the equation. 42 + -42 + -2x = 28 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 28 + -42 -2x = 28 + -42 Combine like terms: 28 + -42 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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