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Simplifying -7x + -30 = -6x + -4(x + 6) Reorder the terms: -30 + -7x = -6x + -4(x + 6) Reorder the terms: -30 + -7x = -6x + -4(6 + x) -30 + -7x = -6x + (6 * -4 + x * -4) -30 + -7x = -6x + (-24 + -4x) Reorder the terms: -30 + -7x = -24 + -6x + -4x Combine like terms: -6x + -4x = -10x -30 + -7x = -24 + -10x Solving -30 + -7x = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -30 + -7x + 10x = -24 + -10x + 10x Combine like terms: -7x + 10x = 3x -30 + 3x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 -30 + 3x = -24 + 0 -30 + 3x = -24 Add '30' to each side of the equation. -30 + 30 + 3x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -24 + 30 3x = -24 + 30 Combine like terms: -24 + 30 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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