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Simplifying 30 + -10x = -7(-7 + x) + 2 30 + -10x = (-7 * -7 + x * -7) + 2 30 + -10x = (49 + -7x) + 2 Reorder the terms: 30 + -10x = 49 + 2 + -7x Combine like terms: 49 + 2 = 51 30 + -10x = 51 + -7x Solving 30 + -10x = 51 + -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 = 51 + -7x + 7x Combine like terms: -10x + 7x = -3x 30 + -3x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 30 + -3x = 51 + 0 30 + -3x = 51 Add '-30' to each side of the equation. 30 + -30 + -3x = 51 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 51 + -30 -3x = 51 + -30 Combine like terms: 51 + -30 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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