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Simplifying (x + 5) * 2 = 3 + -1(x + 3) * 7 Reorder the terms: (5 + x) * 2 = 3 + -1(x + 3) * 7 Reorder the terms for easier multiplication: 2(5 + x) = 3 + -1(x + 3) * 7 (5 * 2 + x * 2) = 3 + -1(x + 3) * 7 (10 + 2x) = 3 + -1(x + 3) * 7 Reorder the terms: 10 + 2x = 3 + -1(3 + x) * 7 Reorder the terms for easier multiplication: 10 + 2x = 3 + -1 * 7(3 + x) Multiply -1 * 7 10 + 2x = 3 + -7(3 + x) 10 + 2x = 3 + (3 * -7 + x * -7) 10 + 2x = 3 + (-21 + -7x) Combine like terms: 3 + -21 = -18 10 + 2x = -18 + -7x Solving 10 + 2x = -18 + -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. 10 + 2x + 7x = -18 + -7x + 7x Combine like terms: 2x + 7x = 9x 10 + 9x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 9x = -18 + 0 10 + 9x = -18 Add '-10' to each side of the equation. 10 + -10 + 9x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = -18 + -10 9x = -18 + -10 Combine like terms: -18 + -10 = -28 9x = -28 Divide each side by '9'. x = -3.111111111 Simplifying x = -3.111111111
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