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Simplifying 3(x + 6) = 21 * 1 + -7(x + -5) Reorder the terms: 3(6 + x) = 21 * 1 + -7(x + -5) (6 * 3 + x * 3) = 21 * 1 + -7(x + -5) (18 + 3x) = 21 * 1 + -7(x + -5) Multiply 21 * 1 18 + 3x = 21 + -7(x + -5) Reorder the terms: 18 + 3x = 21 + -7(-5 + x) 18 + 3x = 21 + (-5 * -7 + x * -7) 18 + 3x = 21 + (35 + -7x) Combine like terms: 21 + 35 = 56 18 + 3x = 56 + -7x Solving 18 + 3x = 56 + -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. 18 + 3x + 7x = 56 + -7x + 7x Combine like terms: 3x + 7x = 10x 18 + 10x = 56 + -7x + 7x Combine like terms: -7x + 7x = 0 18 + 10x = 56 + 0 18 + 10x = 56 Add '-18' to each side of the equation. 18 + -18 + 10x = 56 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = 56 + -18 10x = 56 + -18 Combine like terms: 56 + -18 = 38 10x = 38 Divide each side by '10'. x = 3.8 Simplifying x = 3.8
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