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Simplifying -30 + 3x = 10(1 + 2x) + -7x -30 + 3x = (1 * 10 + 2x * 10) + -7x -30 + 3x = (10 + 20x) + -7x Combine like terms: 20x + -7x = 13x -30 + 3x = 10 + 13x Solving -30 + 3x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -30 + 3x + -13x = 10 + 13x + -13x Combine like terms: 3x + -13x = -10x -30 + -10x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -30 + -10x = 10 + 0 -30 + -10x = 10 Add '30' to each side of the equation. -30 + 30 + -10x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -10x = 10 + 30 -10x = 10 + 30 Combine like terms: 10 + 30 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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