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Simplifying 28 + -7x = 7x + -6(2 + 4x) 28 + -7x = 7x + (2 * -6 + 4x * -6) 28 + -7x = 7x + (-12 + -24x) Reorder the terms: 28 + -7x = -12 + 7x + -24x Combine like terms: 7x + -24x = -17x 28 + -7x = -12 + -17x Solving 28 + -7x = -12 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 28 + -7x + 17x = -12 + -17x + 17x Combine like terms: -7x + 17x = 10x 28 + 10x = -12 + -17x + 17x Combine like terms: -17x + 17x = 0 28 + 10x = -12 + 0 28 + 10x = -12 Add '-28' to each side of the equation. 28 + -28 + 10x = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = -12 + -28 10x = -12 + -28 Combine like terms: -12 + -28 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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