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Simplifying -58 = -2(2 + 8x) + 6(x + 1) -58 = (2 * -2 + 8x * -2) + 6(x + 1) -58 = (-4 + -16x) + 6(x + 1) Reorder the terms: -58 = -4 + -16x + 6(1 + x) -58 = -4 + -16x + (1 * 6 + x * 6) -58 = -4 + -16x + (6 + 6x) Reorder the terms: -58 = -4 + 6 + -16x + 6x Combine like terms: -4 + 6 = 2 -58 = 2 + -16x + 6x Combine like terms: -16x + 6x = -10x -58 = 2 + -10x Solving -58 = 2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -58 + 10x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -58 + 10x = 2 + 0 -58 + 10x = 2 Add '58' to each side of the equation. -58 + 58 + 10x = 2 + 58 Combine like terms: -58 + 58 = 0 0 + 10x = 2 + 58 10x = 2 + 58 Combine like terms: 2 + 58 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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