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Simplifying 2(x + 3) = 3x + 7(x + 4) Reorder the terms: 2(3 + x) = 3x + 7(x + 4) (3 * 2 + x * 2) = 3x + 7(x + 4) (6 + 2x) = 3x + 7(x + 4) Reorder the terms: 6 + 2x = 3x + 7(4 + x) 6 + 2x = 3x + (4 * 7 + x * 7) 6 + 2x = 3x + (28 + 7x) Reorder the terms: 6 + 2x = 28 + 3x + 7x Combine like terms: 3x + 7x = 10x 6 + 2x = 28 + 10x Solving 6 + 2x = 28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 2x + -10x = 28 + 10x + -10x Combine like terms: 2x + -10x = -8x 6 + -8x = 28 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -8x = 28 + 0 6 + -8x = 28 Add '-6' to each side of the equation. 6 + -6 + -8x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 28 + -6 -8x = 28 + -6 Combine like terms: 28 + -6 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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