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Simplifying 6x + 2(x + -1) = 30 + 10x Reorder the terms: 6x + 2(-1 + x) = 30 + 10x 6x + (-1 * 2 + x * 2) = 30 + 10x 6x + (-2 + 2x) = 30 + 10x Reorder the terms: -2 + 6x + 2x = 30 + 10x Combine like terms: 6x + 2x = 8x -2 + 8x = 30 + 10x Solving -2 + 8x = 30 + 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. -2 + 8x + -10x = 30 + 10x + -10x Combine like terms: 8x + -10x = -2x -2 + -2x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -2x = 30 + 0 -2 + -2x = 30 Add '2' to each side of the equation. -2 + 2 + -2x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 30 + 2 -2x = 30 + 2 Combine like terms: 30 + 2 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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