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Simplifying 7 + -49 = 2(3x + 4) + -2 Combine like terms: 7 + -49 = -42 -42 = 2(3x + 4) + -2 Reorder the terms: -42 = 2(4 + 3x) + -2 -42 = (4 * 2 + 3x * 2) + -2 -42 = (8 + 6x) + -2 Reorder the terms: -42 = 8 + -2 + 6x Combine like terms: 8 + -2 = 6 -42 = 6 + 6x Solving -42 = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + -6x = 6 + 0 -42 + -6x = 6 Add '42' to each side of the equation. -42 + 42 + -6x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + -6x = 6 + 42 -6x = 6 + 42 Combine like terms: 6 + 42 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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