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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 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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