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Simplifying 6(x + -7) = 2x + -10 Reorder the terms: 6(-7 + x) = 2x + -10 (-7 * 6 + x * 6) = 2x + -10 (-42 + 6x) = 2x + -10 Reorder the terms: -42 + 6x = -10 + 2x Solving -42 + 6x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x -42 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 4x = -10 + 0 -42 + 4x = -10 Add '42' to each side of the equation. -42 + 42 + 4x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -10 + 42 4x = -10 + 42 Combine like terms: -10 + 42 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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