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Simplifying 30 + -10x = -7(x + -6) Reorder the terms: 30 + -10x = -7(-6 + x) 30 + -10x = (-6 * -7 + x * -7) 30 + -10x = (42 + -7x) Solving 30 + -10x = 42 + -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. 30 + -10x + 7x = 42 + -7x + 7x Combine like terms: -10x + 7x = -3x 30 + -3x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 30 + -3x = 42 + 0 30 + -3x = 42 Add '-30' to each side of the equation. 30 + -30 + -3x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 42 + -30 -3x = 42 + -30 Combine like terms: 42 + -30 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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