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Simplifying 7x + 7(-3x + -6) = -49 + -7x Reorder the terms: 7x + 7(-6 + -3x) = -49 + -7x 7x + (-6 * 7 + -3x * 7) = -49 + -7x 7x + (-42 + -21x) = -49 + -7x Reorder the terms: -42 + 7x + -21x = -49 + -7x Combine like terms: 7x + -21x = -14x -42 + -14x = -49 + -7x Solving -42 + -14x = -49 + -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. -42 + -14x + 7x = -49 + -7x + 7x Combine like terms: -14x + 7x = -7x -42 + -7x = -49 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + -7x = -49 + 0 -42 + -7x = -49 Add '42' to each side of the equation. -42 + 42 + -7x = -49 + 42 Combine like terms: -42 + 42 = 0 0 + -7x = -49 + 42 -7x = -49 + 42 Combine like terms: -49 + 42 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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