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Simplifying 6x + 2(x + -3) = 5 + -1(1 + -10x) Reorder the terms: 6x + 2(-3 + x) = 5 + -1(1 + -10x) 6x + (-3 * 2 + x * 2) = 5 + -1(1 + -10x) 6x + (-6 + 2x) = 5 + -1(1 + -10x) Reorder the terms: -6 + 6x + 2x = 5 + -1(1 + -10x) Combine like terms: 6x + 2x = 8x -6 + 8x = 5 + -1(1 + -10x) -6 + 8x = 5 + (1 * -1 + -10x * -1) -6 + 8x = 5 + (-1 + 10x) Combine like terms: 5 + -1 = 4 -6 + 8x = 4 + 10x Solving -6 + 8x = 4 + 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. -6 + 8x + -10x = 4 + 10x + -10x Combine like terms: 8x + -10x = -2x -6 + -2x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -2x = 4 + 0 -6 + -2x = 4 Add '6' to each side of the equation. -6 + 6 + -2x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 4 + 6 -2x = 4 + 6 Combine like terms: 4 + 6 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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