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Simplifying 7x + 5(3x + -6) = -4 + -4x Reorder the terms: 7x + 5(-6 + 3x) = -4 + -4x 7x + (-6 * 5 + 3x * 5) = -4 + -4x 7x + (-30 + 15x) = -4 + -4x Reorder the terms: -30 + 7x + 15x = -4 + -4x Combine like terms: 7x + 15x = 22x -30 + 22x = -4 + -4x Solving -30 + 22x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + 22x + 4x = -4 + -4x + 4x Combine like terms: 22x + 4x = 26x -30 + 26x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 26x = -4 + 0 -30 + 26x = -4 Add '30' to each side of the equation. -30 + 30 + 26x = -4 + 30 Combine like terms: -30 + 30 = 0 0 + 26x = -4 + 30 26x = -4 + 30 Combine like terms: -4 + 30 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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