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Simplifying 7(x + 3) + 42 = -2x Reorder the terms: 7(3 + x) + 42 = -2x (3 * 7 + x * 7) + 42 = -2x (21 + 7x) + 42 = -2x Reorder the terms: 21 + 42 + 7x = -2x Combine like terms: 21 + 42 = 63 63 + 7x = -2x Solving 63 + 7x = -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. 63 + 7x + 2x = -2x + 2x Combine like terms: 7x + 2x = 9x 63 + 9x = -2x + 2x Combine like terms: -2x + 2x = 0 63 + 9x = 0 Add '-63' to each side of the equation. 63 + -63 + 9x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = 0 + -63 9x = 0 + -63 Combine like terms: 0 + -63 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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