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Simplifying 10x + 3(-2x + 10) + -2 = 3(2 + -6x) Reorder the terms: 10x + 3(10 + -2x) + -2 = 3(2 + -6x) 10x + (10 * 3 + -2x * 3) + -2 = 3(2 + -6x) 10x + (30 + -6x) + -2 = 3(2 + -6x) Reorder the terms: 30 + -2 + 10x + -6x = 3(2 + -6x) Combine like terms: 30 + -2 = 28 28 + 10x + -6x = 3(2 + -6x) Combine like terms: 10x + -6x = 4x 28 + 4x = 3(2 + -6x) 28 + 4x = (2 * 3 + -6x * 3) 28 + 4x = (6 + -18x) Solving 28 + 4x = 6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 28 + 4x + 18x = 6 + -18x + 18x Combine like terms: 4x + 18x = 22x 28 + 22x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 28 + 22x = 6 + 0 28 + 22x = 6 Add '-28' to each side of the equation. 28 + -28 + 22x = 6 + -28 Combine like terms: 28 + -28 = 0 0 + 22x = 6 + -28 22x = 6 + -28 Combine like terms: 6 + -28 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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