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Simplifying 7(4 + -1x) = 3x + -2 (4 * 7 + -1x * 7) = 3x + -2 (28 + -7x) = 3x + -2 Reorder the terms: 28 + -7x = -2 + 3x Solving 28 + -7x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + -7x + -3x = -2 + 3x + -3x Combine like terms: -7x + -3x = -10x 28 + -10x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -10x = -2 + 0 28 + -10x = -2 Add '-28' to each side of the equation. 28 + -28 + -10x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = -2 + -28 -10x = -2 + -28 Combine like terms: -2 + -28 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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